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頻出問題

ランク	トピック	問題	フォーマット化された問題
239001	根 (ゼロ) を求める	x^2=5	$x^{2} = 5$
239002	根 (ゼロ) を求める	f(x)=(x^3-9x)/(3x^2-6x-9)	$f (x) = \frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
239003	根 (ゼロ) を求める	2(x-4)^2=26	$2 {(x - 4)}^{2} = 26$
239004	根 (ゼロ) を求める	y=cos(2x)	$y = \cos (2 x)$
239005	根 (ゼロ) を求める	f(x)=-x^2(x+1)^2(x-1)	$f (x) = - x^{2} {(x + 1)}^{2} (x - 1)$
239006	根 (ゼロ) を求める	2x^2+x-1/4	$2 x^{2} + x - \frac{1}{4}$
239007	根 (ゼロ) を求める	3y^3+y^2-3=0	$3 y^{3} + y^{2} - 3 = 0$
239008	根 (ゼロ) を求める	f(x)=(2x^2+7x)/(x-2)	$f (x) = \frac{2 x^{2} + 7 x}{x - 2}$
239009	根 (ゼロ) を求める	5-2m-3m^2=0	$5 - 2 m - 3 m^{2} = 0$
239010	根 (ゼロ) を求める	f(x)=-(x-4)^2	$f (x) = - {(x - 4)}^{2}$
239011	根 (ゼロ) を求める	P(x)=-5x^3-4x^2+x	$P (x) = - 5 x^{3} - 4 x^{2} + x$
239012	根 (ゼロ) を求める	y^2-12y=-36	$y^{2} - 12 y = - 36$
239013	根 (ゼロ) を求める	x^4+x^3	$x^{4} + x^{3}$
239014	根 (ゼロ) を求める	(2x+9)^2-32	${(2 x + 9)}^{2} - 32$
239015	根 (ゼロ) を求める	f(x)=(x+8)^2(2-x)	$f (x) = {(x + 8)}^{2} (2 - x)$
239016	根 (ゼロ) を求める	3x^3+x^2-15x-5	$3 x^{3} + x^{2} - 15 x - 5$
239017	根 (ゼロ) を求める	f(x)=-3/2x^2+6x+15/2	$f (x) = - \frac{3}{2} x^{2} + 6 x + \frac{15}{2}$
239018	根 (ゼロ) を求める	f(x)=(10x-3)(4x+1)(5x-2)	$f (x) = (10 x - 3) (4 x + 1) (5 x - 2)$
239019	根 (ゼロ) を求める	y=x^3+9x^2	$y = x^{3} + 9 x^{2}$
239020	根 (ゼロ) を求める	xe^(-x)-2e^(-x)	$x e^{- x} - 2 e^{- x}$
239021	根 (ゼロ) を求める	3x^4-4x^3+x^2+6x-2=0	$3 x^{4} - 4 x^{3} + x^{2} + 6 x - 2 = 0$
239022	根 (ゼロ) を求める	p(x)=(1/5x)(-4x)(2x)	$p (x) = (\frac{1}{5} x) (- 4 x) (2 x)$
239023	根 (ゼロ) を求める	f(x)=2x^5+11x^4+17x^3+21x^2+45x	$f (x) = 2 x^{5} + 11 x^{4} + 17 x^{3} + 21 x^{2} + 45 x$
239024	垂直線を求める	y+2=1/3(x-5) ; (-4,3)	$y + 2 = \frac{1}{3} (x - 5)$ ; $(- 4, 3)$
239025	垂直線を求める	Find the equation of the line through (-4,5) which is perpendicular to the line y=x/4-1	Find the equation of the line through $(- 4, 5)$ which is perpendicular to the line $y = \frac{x}{4} - 1$
239026	垂直線を求める	What is the equation of the line that is perpendicular to the line defined by the equation 2x=4y-8 and goes through the point (1,2) ?	What is the equation of the line that is perpendicular to the line defined by the equation $2 x = 4 y - 8$ and goes through the point $(1, 2)$ ?
239027	垂直線を求める	y-4=5/2(x+3) ; (-7,8)	$y - 4 = \frac{5}{2} (x + 3)$ ; $(- 7, 8)$
239028	垂直線を求める	(-4,5) which is perpendicular to the line y=x/4-1	$(- 4, 5)$ which is perpendicular to the line $y = \frac{x}{4} - 1$
239029	垂直線を求める	Find the equation of the line through (8,-7) which is perpendicular to the line y=x/2-9	Find the equation of the line through $(8, - 7)$ which is perpendicular to the line $y = \frac{x}{2} - 9$
239030	垂直線を求める	Through (-3,8) ; perpendicular to -3x+4y=-23	Through $(- 3, 8)$ ; perpendicular to $- 3 x + 4 y = - 23$
239031	垂直線を求める	(-4,5) y=x/4-1	$(- 4, 5)$ $y = \frac{x}{4} - 1$
239032	垂直線を求める	(8,-7) y=x/2-9	$(8, - 7)$ $y = \frac{x}{2} - 9$
239033	垂直線を求める	(1,8) and perpendicular to 2x+5y=1	$(1, 8)$ and perpendicular to $2 x + 5 y = 1$
239034	垂直線を求める	Through (-4,4) ; perpendicular to x+3y=-3	Through $(- 4, 4)$ ; perpendicular to $x + 3 y = - 3$
239035	垂直線を求める	Find the equation of the line through (-8,5) which is perpendicular to the line y=x/4-4	Find the equation of the line through $(- 8, 5)$ which is perpendicular to the line $y = \frac{x}{4} - 4$
239036	垂直線を求める	y=1 , passing through (2,10)	$y = 1$ , passing through $(2, 10)$
239037	垂直線を求める	(4,-3) , y=-x-5	$(4, - 3)$ , $y = - x - 5$
239038	垂直線を求める	y=9/2x-11/2(-3,2)	$y = \frac{9}{2} x - \frac{11}{2} (- 3, 2)$
239039	垂直線を求める	(1,7) and perpendicular to 2x+5y=1	$(1, 7)$ and perpendicular to $2 x + 5 y = 1$
239040	垂直線を求める	(1,7) and perpendicular to 3x+5y=1	$(1, 7)$ and perpendicular to $3 x + 5 y = 1$
239041	垂直線を求める	(1,6) and perpendicular to 2x+5y=1	$(1, 6)$ and perpendicular to $2 x + 5 y = 1$
239042	垂直線を求める	(1,9) and perpendicular to 2x+5y=1	$(1, 9)$ and perpendicular to $2 x + 5 y = 1$
239043	垂直線を求める	(1,8) and perpendicular to 3x+5y=1	$(1, 8)$ and perpendicular to $3 x + 5 y = 1$
239044	垂直線を求める	(5,0) ; y+1=2(x-3)	$(5, 0)$ ; $y + 1 = 2 (x - 3)$
239045	垂直線を求める	through: (-3,-3) , perp. to y=-3/8x-2	through: $(- 3, - 3)$ , perp. to $y = - \frac{3}{8} x - 2$
239046	垂直線を求める	through: (1,-3) , perp. to y=-x	through: $(1, - 3)$ , perp. to $y = - x$
239047	垂直線を求める	(1,6) and perpendicular to 3x+5y=1	$(1, 6)$ and perpendicular to $3 x + 5 y = 1$
239048	垂直線を求める	What is an equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x-y=5 ?	What is an equation of the line that passes through the point $(6, - 4)$ and is perpendicular to the line $2 x - y = 5$ ?
239049	垂直線を求める	What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-4y=24 ?	What is an equation of the line that passes through the point $(- 2, 7)$ and is perpendicular to the line $x - 4 y = 24$ ?
239050	垂直線を求める	through: (0,-4) , perp. to y=-3/2x+1	through: $(0, - 4)$ , perp. to $y = - \frac{3}{2} x + 1$
239051	垂直線を求める	Find the equation of the line through (-8,8) which is perpendicular to the line y=x/4-5	Find the equation of the line through $(- 8, 8)$ which is perpendicular to the line $y = \frac{x}{4} - 5$
239052	垂直線を求める	(-8,3) ; y+4=-2/3(x-2)	$(- 8, 3)$ ; $y + 4 = - \frac{2}{3} (x - 2)$
239053	垂直線を求める	through: (2,4) , perp. to y=-x+5	through: $(2, 4)$ , perp. to $y = - x + 5$
239054	垂直線を求める	m=2 , (-3,2)	$m = 2$ , $(- 3, 2)$
239055	垂直線を求める	What is an equation of the line that passes through the point (4,1) and is perpendicular to the line 2x-y=4 ?	What is an equation of the line that passes through the point $(4, 1)$ and is perpendicular to the line $2 x - y = 4$ ?
239056	垂直線を求める	(-1,-2) which is perpendicular to the line y=x/2-9	$(- 1, - 2)$ which is perpendicular to the line $y = \frac{x}{2} - 9$
239057	垂直線を求める	(-8,1) which is perpendicular to the line y=-x/2-6	$(- 8, 1)$ which is perpendicular to the line $y = - \frac{x}{2} - 6$
239058	垂直線を求める	(1,9) and perpendicular to 3x+5y=1	$(1, 9)$ and perpendicular to $3 x + 5 y = 1$
239059	垂直線を求める	What is an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2 ?	What is an equation of the line that passes through the point $(6, - 2)$ and is perpendicular to the line $6 x + y = 2$ ?
239060	垂直線を求める	y=2x-11 ; P=(2,3)	$y = 2 x - 11$ ; $P = (2, 3)$
239061	垂直線を求める	Find the equation of the line through (-9,4) which is perpendicular to the line y=x/4+6	Find the equation of the line through $(- 9, 4)$ which is perpendicular to the line $y = \frac{x}{4} + 6$
239062	垂直線を求める	What is an equation of the line that passes through the point (4,-3) and is perpendicular to the line 4x+y=3 ?	What is an equation of the line that passes through the point $(4, - 3)$ and is perpendicular to the line $4 x + y = 3$ ?
239063	垂直線を求める	y=-2x-6 ; P=(4,6)	$y = - 2 x - 6$ ; $P = (4, 6)$
239064	垂直線を求める	What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21 ?	What is an equation of the line that passes through the point $(4, 2)$ and is perpendicular to the line $4 x + 3 y = 21$ ?
239065	垂直線を求める	through (-2,0) , perpendicular to 8x-3y=7	through $(- 2, 0)$ , perpendicular to $8 x - 3 y = 7$
239066	垂直線を求める	(-8,1) y=-x/2-6	$(- 8, 1)$ $y = - \frac{x}{2} - 6$
239067	垂直線を求める	passing through (-2,8) and perpendicular to y=2x+5	passing through $(- 2, 8)$ and perpendicular to $y = 2 x + 5$
239068	垂直線を求める	What is the equation of the line that is perpendicular to the line defined by the equation 2x=4y-8 and goes through the point (1,2) ?	What is the equation of the line that is perpendicular to the line defined by the equation $2 x = 4 y - 8$ and goes through the point $(1, 2)$ ?
239069	垂直線を求める	What is an equation of the line that passes through the point (-2,-3) and is perpendicular to the line x+3y=24 ?	What is an equation of the line that passes through the point $(- 2, - 3)$ and is perpendicular to the line $x + 3 y = 24$ ?
239070	垂直線を求める	Find the equation of the line through (-6,3) which is perpendicular to the line y=-x/4-7	Find the equation of the line through $(- 6, 3)$ which is perpendicular to the line $y = - \frac{x}{4} - 7$
239071	垂直線を求める	y=4/5x+3 ; P=(4,-4)	$y = \frac{4}{5} x + 3$ ; $P = (4, - 4)$
239072	垂直線を求める	(-6,4) , 3y=2x-3	$(- 6, 4)$ , $3 y = 2 x - 3$
239073	垂直線を求める	What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25 ?	What is an equation of the line that passes through the point $(- 4, - 6)$ and is perpendicular to the line $4 x + 5 y = 25$ ?
239074	垂直線を求める	Find the equation of the line through (-2,-5) which is perpendicular to the line y=x/3+7	Find the equation of the line through $(- 2, - 5)$ which is perpendicular to the line $y = \frac{x}{3} + 7$
239075	垂直線を求める	What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6 ?	What is an equation of the line that passes through the point $(- 1, - 6)$ and is perpendicular to the line $x + 6 y = 6$ ?
239076	垂直線を求める	What is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line x-2y=6 ?	What is an equation of the line that passes through the point $(- 3, - 1)$ and is perpendicular to the line $x - 2 y = 6$ ?
239077	垂直線を求める	line 4x-3y=5 , point (-3,2)	line $4 x - 3 y = 5$ , point $(- 3, 2)$
239078	垂直線を求める	What is an equation of the line that passes through the point (1,3) and is perpendicular to the line x+3y=9 ?	What is an equation of the line that passes through the point $(1, 3)$ and is perpendicular to the line $x + 3 y = 9$ ?
239079	垂直線を求める	y+4=-2/3(x-2) ; (4,-2)	$y + 4 = - \frac{2}{3} (x - 2)$ ; $(4, - 2)$
239080	垂直線を求める	-3x+5y=-10 ; P=(0,-1)	$- 3 x + 5 y = - 10$ ; $P = (0, - 1)$
239081	垂直線を求める	What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18 ?	What is an equation of the line that passes through the point $(6, 1)$ and is perpendicular to the line $2 x + 3 y = 18$ ?
239082	垂直線を求める	What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36 ?	What is an equation of the line that passes through the point $(- 5, - 4)$ and is perpendicular to the line $5 x + 6 y = 36$ ?
239083	垂直線を求める	What is an equation of the line that passes through the point (7,-7) and is perpendicular to the line x-2y=2 ?	What is an equation of the line that passes through the point $(7, - 7)$ and is perpendicular to the line $x - 2 y = 2$ ?
239084	垂直線を求める	What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21 ?	What is an equation of the line that passes through the point $(1, - 3)$ and is perpendicular to the line $x + 3 y = 21$ ?
239085	垂直線を求める	(-3,3) ; 2y=8x-6	$(- 3, 3)$ ; $2 y = 8 x - 6$
239086	垂直線を求める	What is an equation of the line that passes through the point (-4,3) and is perpendicular to the line 4x-5y=20 ?	What is an equation of the line that passes through the point $(- 4, 3)$ and is perpendicular to the line $4 x - 5 y = 20$ ?
239087	垂直線を求める	Find the equation of a line perpendicular to -3y=-6-3x that passes through the point (1,-4)	Find the equation of a line perpendicular to $- 3 y = - 6 - 3 x$ that passes through the point $(1, - 4)$
239088	垂直線を求める	What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27 ?	What is an equation of the line that passes through the point $(1, 6)$ and is perpendicular to the line $x + 3 y = 27$ ?
239089	垂直線を求める	y=-6 that contains the point (1,3)	$y = - 6$ that contains the point $(1, 3)$
239090	垂直線を求める	perpendicular to y=5/2x-6 and has the point (5,-7)	perpendicular to $y = \frac{5}{2} x - 6$ and has the point $(5, - 7)$
239091	垂直線を求める	What is the equation of the line that is perpendicular to the line y=3x+7 that goes through the point (3,4) ?	What is the equation of the line that is perpendicular to the line $y = 3 x + 7$ that goes through the point $(3, 4)$ ?
239092	垂直線を求める	(5,-4) that is perpendicular to the line 5x+6y=7	$(5, - 4)$ that is perpendicular to the line $5 x + 6 y = 7$
239093	垂直線を求める	(2,7) perpendicular to 3x+5y=1	$(2, 7)$ perpendicular to $3 x + 5 y = 1$
239094	垂直線を求める	What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 2x-y=6 ?	What is an equation of the line that passes through the point $(- 4, - 6)$ and is perpendicular to the line $2 x - y = 6$ ?
239095	垂直線を求める	The line contains (-3,4) and is perpendicular to 4x+7y=5	The line contains $(- 3, 4)$ and is perpendicular to $4 x + 7 y = 5$
239096	垂直線を求める	Find the equation of the line through (2,-9) which is perpendicular to the line y=-x/2-4	Find the equation of the line through $(2, - 9)$ which is perpendicular to the line $y = - \frac{x}{2} - 4$
239097	垂直線を求める	What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7 ?	What is an equation of the line that passes through the point $(- 4, 5)$ and is perpendicular to the line $4 x + y = 7$ ?
239098	垂直線を求める	What is an equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x-3y=18 ?	What is an equation of the line that passes through the point $(8, - 8)$ and is perpendicular to the line $4 x - 3 y = 18$ ?
239099	垂直線を求める	-x+y=-6 that contains the point (-4,5)	$- x + y = - 6$ that contains the point $(- 4, 5)$
239100	垂直線を求める	through: (4,-1) , perp. to y=x+2	through: $(4, - 1)$ , perp. to $y = x + 2$