Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7201	Solve by Factoring	2x^3-23x^2+78x-80=0	$2 x^{3} - 23 x^{2} + 78 x - 80 = 0$
7202	Solve by Factoring	3x^(2/3)+4x^(1/3)-4=0	$3 x^{\frac{2}{3}} + 4 x^{\frac{1}{3}} - 4 = 0$
7203	Solve by Factoring	3x^2-9=23	$3 x^{2} - 9 = 23$
7204	Solve by Factoring	3+5x-2x^2=0	$3 + 5 x - 2 x^{2} = 0$
7205	Solve by Factoring	4n^2=25	$4 n^{2} = 25$
7206	Solve by Factoring	3500=700*2^(8x)	$3500 = 700 \cdot 2^{8 x}$
7207	Solve by Factoring	5n^2+3n=0	$5 n^{2} + 3 n = 0$
7208	Solve by Factoring	5x^2+16x=16	$5 x^{2} + 16 x = 16$
7209	Solve by Factoring	5x^3-2=x-x^2	$5 x^{3} - 2 = x - x^{2}$
7210	Solve by Factoring	6a^(2/3)-a^(1/3)-20=0	$6 a^{\frac{2}{3}} - a^{\frac{1}{3}} - 20 = 0$
7211	Solve by Factoring	3z^(14/5)-19z^(9/5)+28z^(4/5)=0	$3 z^{\frac{14}{5}} - 19 z^{\frac{9}{5}} + 28 z^{\frac{4}{5}} = 0$
7212	Solve by Factoring	4x^2-8x-21=0	$4 x^{2} - 8 x - 21 = 0$
7213	Solve by Factoring	49x^2-1=0	$49 x^{2} - 1 = 0$
7214	Solve by Factoring	4x^5+41x^4+65x^3-411x^2+60x-252=0	$4 x^{5} + 41 x^{4} + 65 x^{3} - 411 x^{2} + 60 x - 252 = 0$
7215	Solve by Factoring	4x^2+2x=30	$4 x^{2} + 2 x = 30$
7216	Solve by Factoring	4x^2-2x=0	$4 x^{2} - 2 x = 0$
7217	Solve by Factoring	4x^3-2x^2+16x-8=0	$4 x^{3} - 2 x^{2} + 16 x - 8 = 0$
7218	Solve by Factoring	a19=-3+(19-1)5	$a \cdot 19 = - 3 + (19 - 1) \cdot 5$
7219	Solve by Factoring	9x^2+18x+8=0	$9 x^{2} + 18 x + 8 = 0$
7220	Solve by Factoring	6x^2-13x-6=0	$6 x^{2} - 13 x - 6 = 0$
7221	Solve by Factoring	6x^2-15x=3x	$6 x^{2} - 15 x = 3 x$
7222	Solve by Factoring	6x^3-11x^2-9x-1=0	$6 x^{3} - 11 x^{2} - 9 x - 1 = 0$
7223	Solve by Factoring	6+6sin(x)=4cos(x)^2	$6 + 6 \sin (x) = 4 \cos^{2} (x)$
7224	Solve by Factoring	6x(x-1)=21-x	$6 x (x - 1) = 21 - x$
7225	Find the Roots (Zeros)	c(x)=1500/x+105+x	$c (x) = \frac{1500}{x} + 105 + x$
7226	Find the Roots (Zeros)	y=-(x+2)^2	$y = - {(x + 2)}^{2}$
7227	Find the Roots (Zeros)	y=x^2+6x-1	$y = x^{2} + 6 x - 1$
7228	Find the Roots (Zeros)	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
7229	Find the Roots (Zeros)	f(x)=x^4+6x^2-27	$f (x) = x^{4} + 6 x^{2} - 27$
7230	Find the Roots (Zeros)	f(x)=x^3+8x^2-31x-22	$f (x) = x^{3} + 8 x^{2} - 31 x - 22$
7231	Solve by Factoring	(2x-3)(x+4)=6	$(2 x - 3) (x + 4) = 6$
7232	Solve by Factoring	(x^2+10x+25)(x^2-10x+25)-49=0	$(x^{2} + 10 x + 25) (x^{2} - 10 x + 25) - 49 = 0$
7233	Solve by Factoring	((4/x)x^4-4x^3(4 natural log of x))/(x^8)=0	$\frac{(\frac{4}{x}) x^{4} - 4 x^{3} (4 \ln (x))}{x^{8}} = 0$
7234	Find the Roots (Zeros)	P(x)=x^3+4x	$P (x) = x^{3} + 4 x$
7235	Solve by Factoring	(m^2-1)^2-11(m^2-1)+24=0	${(m^{2} - 1)}^{2} - 11 (m^{2} - 1) + 24 = 0$
7236	Solve by Factoring	(5x+9)^2=10	${(5 x + 9)}^{2} = 10$
7237	Solve by Factoring	(3x+8)^2=12	${(3 x + 8)}^{2} = 12$
7238	Solve by Factoring	(3x-1)^(2/3)=4	${(3 x - 1)}^{\frac{2}{3}} = 4$
7239	Find the Roots (Zeros)	4x^3-23x^2+26x+8=0	$4 x^{3} - 23 x^{2} + 26 x + 8 = 0$
7240	Evaluate	arcsin(( square root of 2)/2)	$\arcsin (\frac{\sqrt{2}}{2})$
7241	Find the Roots (Zeros)	7x^2+392=0	$7 x^{2} + 392 = 0$
7242	Find the Roots (Zeros)	7x^3+12x^2-11x+2=0	$7 x^{3} + 12 x^{2} - 11 x + 2 = 0$
7243	Find the Roots (Zeros)	csc(x)=(2 square root of 3)/3	$\csc (x) = \frac{2 \sqrt{3}}{3}$
7244	Find the Roots (Zeros)	z=3-4i	$z = 3 - 4 i$
7245	Find the Roots (Zeros)	e^x-6e^(-x)-1=0	$e^{x} - 6 e^{- x} - 1 = 0$
7246	Find the Roots (Zeros)	x^3-14x^2+64x-96=4	$x^{3} - 14 x^{2} + 64 x - 96 = 4$
7247	Find the Roots (Zeros)	4x^2+36=0	$4 x^{2} + 36 = 0$
7248	Find the Roots (Zeros)	4x^5+12x^4-41x^3-99x^2+10x+24=0	$4 x^{5} + 12 x^{4} - 41 x^{3} - 99 x^{2} + 10 x + 24 = 0$
7249	Find the Roots (Zeros)	5x^2-12=0	$5 x^{2} - 12 = 0$
7250	Find the Roots (Zeros)	k^2x^2+kx+4=0	$k^{2} x^{2} + k x + 4 = 0$
7251	Find the Roots (Zeros)	x^2+8x+14=0	$x^{2} + 8 x + 14 = 0$
7252	Find the Roots (Zeros)	x^2-14x+53=0	$x^{2} - 14 x + 53 = 0$
7253	Find the Roots (Zeros)	11x^3+17x^2-21x+5=0	$11 x^{3} + 17 x^{2} - 21 x + 5 = 0$
7254	Solve by Factoring	1/3* log base 2 of x+6 = log base 8 of 3x	$\frac{1}{3} \cdot \log_{2} (x + 6) = \log_{8} (3 x)$
7255	Solve by Factoring	\|v\|^2=605
7256	Solve by Factoring	1/t+1/(3t)+1/(5t)=9	$\frac{1}{t} + \frac{1}{3 t} + \frac{1}{5 t} = 9$
7257	Solve by Factoring	10/(x+4)=15/(4(x+1))	$\frac{10}{x + 4} = \frac{15}{4 (x + 1)}$
7258	Solve by Factoring	(u-10)^(2/5)=2	${(u - 10)}^{\frac{2}{5}} = 2$
7259	Solve by Factoring	(x-5)^2=16	${(x - 5)}^{2} = 16$
7260	Solve by Factoring	4^x+2^(x+1)-63=0	$4^{x} + 2^{x + 1} - 63 = 0$
7261	Solve by Factoring	4^(-x)=2.8	$4^{- x} = 2.8$
7262	Solve by Factoring	5^(2x)+5^(x+1)-24=0	$5^{2 x} + 5^{x + 1} - 24 = 0$
7263	Solve by Factoring	3^(x-7)=1/27	$3^{x - 7} = \frac{1}{27}$
7264	Solve by Factoring	(3x)/(x-2)=1+6/(x-2)	$\frac{3 x}{x - 2} = 1 + \frac{6}{x - 2}$
7265	Solve by Factoring	2^(2x)+2^x-90=0	$2^{2 x} + 2^{x} - 90 = 0$
7266	Solve by Factoring	25^x-8*5^x=-16	$25^{x} - 8 \cdot 5^{x} = - 16$
7267	Solve by Factoring	3/4x^2+8x+20=0	$\frac{3}{4} x^{2} + 8 x + 20 = 0$
7268	Solve by Factoring	7^(2x)+7^x-12=0	$7^{2 x} + 7^{x} - 12 = 0$
7269	Solve by Factoring	cot(x)^2cos(x)^2=cot(x)^2-cos(x)^2	$\cot^{2} (x) \cos^{2} (x) = \cot^{2} (x) - \cos^{2} (x)$
7270	Solve by Factoring	9^x-3^(x+1)+1=0	$9^{x} - 3^{x + 1} + 1 = 0$
7271	Solve by Factoring	cos(x)^2-cos(x)=12	$\cos^{2} (x) - \cos (x) = 12$
7272	Solve by Factoring	cos(x)^4-sin(x)^4=cos(2x)	$\cos^{4} (x) - \sin^{4} (x) = \cos (2 x)$
7273	Solve by Factoring	log of x^2+91=2	$\log (x^{2} + 91) = 2$
7274	Solve by Factoring	log base 5 of x+4+ log base 5 of x-4=2	$\log_{5} (x + 4) + \log_{5} (x - 4) = 2$
7275	Solve by Factoring	sec(x)^2+csc(x)^2=sec(x)^2*csc(x)^2	$\sec^{2} (x) + \csc^{2} (x) = \sec^{2} (x) \cdot \csc^{2} (x)$
7276	Solve by Factoring	sin(x)^2-2sin(x)=3	$\sin^{2} (x) - 2 \sin (x) = 3$
7277	Solve by Factoring	tan(3x)^2 = square root of 1	$\tan^{2} (3 x) = \sqrt{1}$
7278	Solve by Factoring	log base x of 256=-4	$\log_{x} (256) = - 4$
7279	Solve by Factoring	log base x of 121=2	$\log_{x} (121) = 2$
7280	Solve by Factoring	log base 81 of x+ log base 9 of x+ log base 3 of x=7	$\log_{81} (x) + \log_{9} (x) + \log_{3} (x) = 7$
7281	Solve by Factoring	tan(x)^2=3/2*sec(x)	$\tan^{2} (x) = \frac{3}{2} \cdot \sec (x)$
7282	Solve by Factoring	sin(x)^2=3cos(x)^2	$\sin^{2} (x) = 3 \cos^{2} (x)$
7283	Solve by Factoring	sin(x)^2-3sin(x)+2=0	$\sin^{2} (x) - 3 \sin (x) + 2 = 0$
7284	Solve by Factoring	square root of 5x+21=x+3	$\sqrt{5 x + 21} = x + 3$
7285	Solve by Factoring	sin(x)^3=sin(x)	$\sin^{3} (x) = \sin (x)$
7286	Solve by Factoring	square root of 2y^2-64=y	$\sqrt{2 y^{2} - 64} = y$
7287	Write in Slope-Intercept Form	y+4=-2(x-1)	$y + 4 = - 2 (x - 1)$
7288	Write in Slope-Intercept Form	y=x-2	$y = x - 2$
7289	Write in Slope-Intercept Form	x-y=9	$x - y = 9$
7290	Write in Slope-Intercept Form	x-8y-7=0	$x - 8 y - 7 = 0$
7291	Write in Slope-Intercept Form	y-(-1)=1/7*(x-7)	$y - (- 1) = \frac{1}{7} \cdot (x - 7)$
7292	Write in Slope-Intercept Form	y-3/4=-2(x+1/3)	$y - \frac{3}{4} = - 2 (x + \frac{1}{3})$
7293	Write in Slope-Intercept Form	y-(-5)=-7/2*(x-(-4))	$y - (- 5) = - \frac{7}{2} \cdot (x - (- 4))$
7294	Write in Slope-Intercept Form	y+2=-1(x+1/2)	$y + 2 = - 1 (x + \frac{1}{2})$
7295	Write in Slope-Intercept Form	y+5=-5(x+3)	$y + 5 = - 5 (x + 3)$
7296	Write in Slope-Intercept Form	9x-3y-6=0	$9 x - 3 y - 6 = 0$
7297	Write in Slope-Intercept Form	6x-y=-6	$6 x - y = - 6$
7298	Write in Slope-Intercept Form	7x+2y-14=0	$7 x + 2 y - 14 = 0$
7299	Write in Slope-Intercept Form	8x-4y=12	$8 x - 4 y = 12$
7300	Write in Slope-Intercept Form	3x-4y=6	$3 x - 4 y = 6$