Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3701	Find the x and y Intercepts	5x^2+4y=20	$5 x^{2} + 4 y = 20$
3702	Find the x and y Intercepts	y=x^3-3x	$y = x^{3} - 3 x$
3703	Find the x and y Intercepts	y=x^2+9x+20	$y = x^{2} + 9 x + 20$
3704	Find the x and y Intercepts	y=2x^2+3x-7	$y = 2 x^{2} + 3 x - 7$
3705	Find the x and y Intercepts	y=-2x-4	$y = - 2 x - 4$
3706	Find the x and y Intercepts	y=2x^2-3x+4	$y = 2 x^{2} - 3 x + 4$
3707	Find the x and y Intercepts	y=2x^2-3x+5	$y = 2 x^{2} - 3 x + 5$
3708	Find the x and y Intercepts	y=2x^2-3x-1	$y = 2 x^{2} - 3 x - 1$
3709	Find the x and y Intercepts	y=- natural log of x	$y = - \ln (x)$
3710	Find the x and y Intercepts	x=12-y	$x = 12 - y$
3711	Find the x and y Intercepts	y=(x+2)^2	$y = {(x + 2)}^{2}$
3712	Find the x and y Intercepts	xy=4	$x y = 4$
3713	Find the x and y Intercepts	y=(1-x)/(1+x)	$y = \frac{1 - x}{1 + x}$
3714	Find the x and y Intercepts	y=- log base 6 of x	$y = - \log_{6} (x)$
3715	Find the x and y Intercepts	y = square root of 16-x^2	$y = \sqrt{16 - x^{2}}$
3716	Find the x and y Intercepts	y = square root of 2x-1	$y = \sqrt{2 x - 1}$
3717	Solve for x	2+3=vx+3	$2 + 3 = v x + 3$
3718	Solve for y	3+3=vy	$3 + 3 = v y$
3719	Find All Complex Number Solutions	x=(4pi)/3	$x = \frac{4 π}{3}$
3720	Solve Using the Quadratic Formula	2x^2+16x-18=0	$2 x^{2} + 16 x - 18 = 0$
3721	Solve Using the Quadratic Formula	2x^2-(x+2)(x-3)=12	$2 x^{2} - (x + 2) (x - 3) = 12$
3722	Solve Using the Quadratic Formula	2x^2+15x-8=0	$2 x^{2} + 15 x - 8 = 0$
3723	Solve Using the Quadratic Formula	16x^2+100=0	$16 x^{2} + 100 = 0$
3724	Solve Using the Quadratic Formula	x^2-0.5=-0.06x	$x^{2} - 0.5 = - 0.06 x$
3725	Solve Using the Quadratic Formula	x^2-0.9=-0.09x	$x^{2} - 0.9 = - 0.09 x$
3726	Solve Using the Quadratic Formula	x^2-14x+17=0	$x^{2} - 14 x + 17 = 0$
3727	Solve Using the Quadratic Formula	2/5x^2+2x+11/5=0	$\frac{2}{5} x^{2} + 2 x + \frac{11}{5} = 0$
3728	Write with Rational (Fractional) Exponents	(1- square root of 3i)^5	${(1 - \sqrt{3} i)}^{5}$
3729	Find the Roots/Zeros Using the Rational Roots Test	f(x)=x^3-3x^2-25x+75	$f (x) = x^{3} - 3 x^{2} - 25 x + 75$
3730	Find the Roots/Zeros Using the Rational Roots Test	3x^3-7x^2-75x+175	$3 x^{3} - 7 x^{2} - 75 x + 175$
3731	Find the Roots/Zeros Using the Rational Roots Test	3x^4+8x^3+6x^2+3x-2	$3 x^{4} + 8 x^{3} + 6 x^{2} + 3 x - 2$
3732	Find the Roots/Zeros Using the Rational Roots Test	2x^4+7x^3-87x^2-395x-175	$2 x^{4} + 7 x^{3} - 87 x^{2} - 395 x - 175$
3733	Find the Roots/Zeros Using the Rational Roots Test	2x^4-7x^3-8x^2+14x+8	$2 x^{4} - 7 x^{3} - 8 x^{2} + 14 x + 8$
3734	Find the Roots/Zeros Using the Rational Roots Test	2x^3+11x^2-7x-6	$2 x^{3} + 11 x^{2} - 7 x - 6$
3735	Find the Roots/Zeros Using the Rational Roots Test	2x^3+6x^2+5x+2	$2 x^{3} + 6 x^{2} + 5 x + 2$
3736	Find the Roots/Zeros Using the Rational Roots Test	18x^4-15x^3+14x^2-20x+8	$18 x^{4} - 15 x^{3} + 14 x^{2} - 20 x + 8$
3737	Write with Rational (Fractional) Exponents	arctan( square root of 3/3)	$\arctan (\sqrt{\frac{3}{3}})$
3738	Write with Rational (Fractional) Exponents	arcsin( square root of 3/2)	$\arcsin (\sqrt{\frac{3}{2}})$
3739	Write with Rational (Fractional) Exponents	square root of 1000	$\sqrt{1000}$
3740	Write with Rational (Fractional) Exponents	2x cube root of x^2y	$2 x \sqrt[3]{x^{2} y}$
3741	Write with Rational (Fractional) Exponents	sin(arccos(-9/( square root of 145)))	$\sin (\arccos (- \frac{9}{\sqrt{145}}))$
3742	Write with Rational (Fractional) Exponents	tan(-( square root of 3)/3)	$\tan (- \frac{\sqrt{3}}{3})$
3743	Solve the Function Operation	if (x)=1/(x-2) , g(x)=(2x)/(x-3) , h(x)=(5-x)/(x+2)	if $(x) = \frac{1}{x - 2}$ , $g (x) = \frac{2 x}{x - 3}$ , $h (x) = \frac{5 - x}{x + 2}$
3744	Simplify	square root of 175- square root of 7+3 square root of 63	$\sqrt{175} - \sqrt{7} + 3 \sqrt{63}$
3745	Simplify	square root of 75- square root of 3+2 square root of 27	$\sqrt{75} - \sqrt{3} + 2 \sqrt{27}$
3746	Convert to Interval Notation	\|(x-1)/6\|<1	$\| \frac{x - 1}{6} \| < 1$
3747	Convert to Interval Notation	x^3-8x^2<0	$x^{3} - 8 x^{2} < 0$
3748	Convert to Interval Notation	x^4>144x^2	$x^{4} > 144 x^{2}$
3749	Convert to Interval Notation	x^4>225x^2	$x^{4} > 225 x^{2}$
3750	Convert to Interval Notation	(x+7)/(x-4)>0	$\frac{x + 7}{x - 4} > 0$
3751	Convert to Interval Notation	x^2-9>0	$x^{2} - 9 > 0$
3752	Convert to Interval Notation	x^3+8x>6x^2	$x^{3} + 8 x > 6 x^{2}$
3753	Convert to Interval Notation	x^3-10x^2>0	$x^{3} - 10 x^{2} > 0$
3754	Convert to Interval Notation	x^3+x^2+36x+36<0	$x^{3} + x^{2} + 36 x + 36 < 0$
3755	Convert to Interval Notation	x^2<9	$x^{2} < 9$
3756	Convert to Interval Notation	x^2-12x>0	$x^{2} - 12 x > 0$
3757	Convert to Interval Notation	x^2-2x+1>0	$x^{2} - 2 x + 1 > 0$
3758	Convert to Interval Notation	x^2+x>0	$x^{2} + x > 0$
3759	Convert to Interval Notation	x^2+21>10x	$x^{2} + 21 > 10 x$
3760	Convert to Interval Notation	x/(x+1)>6x	$\frac{x}{x + 1} > 6 x$
3761	Convert to Interval Notation	\|7x\|<3	$\| 7 x \| < 3$
3762	Convert to Interval Notation	\|4-3x\|-2<4	$\| 4 - 3 x \| - 2 < 4$
3763	Convert to Interval Notation	1/2x-2/3>3	$\frac{1}{2} x - \frac{2}{3} > 3$
3764	Convert to Interval Notation	2-3x<11	$2 - 3 x < 11$
3765	Convert to Interval Notation	2-4x+5(x-1)<-6(x-2)	$2 - 4 x + 5 (x - 1) < - 6 (x - 2)$
3766	Convert to Interval Notation	(2x-2)/(x+5)>0	$\frac{2 x - 2}{x + 5} > 0$
3767	Convert to Interval Notation	(2x)/4-(5x+1)/3>3	$\frac{2 x}{4} - \frac{5 x + 1}{3} > 3$
3768	Convert to Interval Notation	x^3+2x^2-3x>0	$x^{3} + 2 x^{2} - 3 x > 0$
3769	Convert to Interval Notation	x^2-100<0	$x^{2} - 100 < 0$
3770	Convert to Interval Notation	x^2+3x-4>0	$x^{2} + 3 x - 4 > 0$
3771	Convert to Interval Notation	x^2+3x-18>0	$x^{2} + 3 x - 18 > 0$
3772	Convert to Interval Notation	x^2+5x-14<0	$x^{2} + 5 x - 14 < 0$
3773	Convert to Interval Notation	\|13x-8\|<-3	$\| 13 x - 8 \| < - 3$
3774	Convert to Interval Notation	\|6-9x\|<24	$\| 6 - 9 x \| < 24$
3775	Evaluate the Function	f(x+1)=3x^2+2x-4	$f (x + 1) = 3 x^{2} + 2 x - 4$
3776	Solve for ?	cos(theta)=1	$\cos (θ) = 1$
3777	Evaluate the Function	f(2)=(1/3)^x	$f (2) = {(\frac{1}{3})}^{x}$
3778	Evaluate the Function	f(-6)=x^3+4x^2-8x-10	$f (- 6) = x^{3} + 4 x^{2} - 8 x - 10$
3779	Evaluate the Function	f(6.4)=((x-1)-\|x-5\|)/2	$f (6.4) = \frac{(x - 1) - \| x - 5 \|}{2}$
3780	Evaluate the Function	-f(x) , f(x)=x^2-4x	$- f (x)$ , $f (x) = x^{2} - 4 x$
3781	Use the Rational Roots Test to Find All Possible Roots	5x^2-10x-5	$5 x^{2} - 10 x - 5$
3782	Use the Rational Roots Test to Find All Possible Roots	csc(x)	$\csc (x)$
3783	Use the Rational Roots Test to Find All Possible Roots	5x^3-7x^2-45x+63	$5 x^{3} - 7 x^{2} - 45 x + 63$
3784	Use the Rational Roots Test to Find All Possible Roots	9x^3-21x^2+4x+4	$9 x^{3} - 21 x^{2} + 4 x + 4$
3785	Use the Rational Roots Test to Find All Possible Roots	x^3-64	$x^{3} - 64$
3786	Determine the Possible Number of Real Roots	x^3-6x^2+9x	$x^{3} - 6 x^{2} + 9 x$
3787	Determine the Possible Number of Real Roots	x^3-27	$x^{3} - 27$
3788	Determine the Possible Number of Real Roots	x^2+x+1	$x^{2} + x + 1$
3789	Find the LCM	4/3 , 8/3 , 16/3 , 32/3 , 64/3	$\frac{4}{3}$ , $\frac{8}{3}$ , $\frac{16}{3}$ , $\frac{32}{3}$ , $\frac{64}{3}$
3790	Use the Rational Roots Test to Find All Possible Roots	2x^4-17x^3+35x^2+9x-45	$2 x^{4} - 17 x^{3} + 35 x^{2} + 9 x - 45$
3791	Use the Rational Roots Test to Find All Possible Roots	2x^4-7x^3+3x^2+8x-4	$2 x^{4} - 7 x^{3} + 3 x^{2} + 8 x - 4$
3792	Use the Rational Roots Test to Find All Possible Roots	4x^5-8x^4-5x^3+10x^2+x-2	$4 x^{5} - 8 x^{4} - 5 x^{3} + 10 x^{2} + x - 2$
3793	Use the Rational Roots Test to Find All Possible Roots	5x^3-9x^2+28x+6	$5 x^{3} - 9 x^{2} + 28 x + 6$
3794	Use the Rational Roots Test to Find All Possible Roots	3x^3-7x^2-75x+175	$3 x^{3} - 7 x^{2} - 75 x + 175$
3795	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-33x-35	$f (x) = x^{3} + 3 x^{2} - 33 x - 35$
3796	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-4x^2-4x+16	$f (x) = x^{3} - 4 x^{2} - 4 x + 16$
3797	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4-9x^2+4x+12	$f (x) = x^{4} - 9 x^{2} + 4 x + 12$
3798	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-3x^2-25x+75	$f (x) = x^{3} - 3 x^{2} - 25 x + 75$
3799	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-7x^2+9x-24	$f (x) = x^{3} - 7 x^{2} + 9 x - 24$
3800	Use the Rational Roots Test to Find All Possible Roots	x^6+16x^3+64	$x^{6} + 16 x^{3} + 64$