Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7701	Find the Roots (Zeros)	x^3+6x^2-4x-24=0	$x^{3} + 6 x^{2} - 4 x - 24 = 0$
7702	Find the Roots (Zeros)	-x^3+5x^2-3x-3=0	$- x^{3} + 5 x^{2} - 3 x - 3 = 0$
7703	Find the Roots (Zeros)	x^3+7x^2-49x-55	$x^{3} + 7 x^{2} - 49 x - 55$
7704	Find the Roots (Zeros)	x^3-1=0	$x^{3} - 1 = 0$
7705	Find the Roots (Zeros)	x^3-8x-3=0	$x^{3} - 8 x - 3 = 0$
7706	Find the Roots (Zeros)	x^3-x-1=0	$x^{3} - x - 1 = 0$
7707	Find the Roots (Zeros)	x^3-7x-6	$x^{3} - 7 x - 6$
7708	Find the Roots (Zeros)	x^4+26x^2+25=0	$x^{4} + 26 x^{2} + 25 = 0$
7709	Find the Roots (Zeros)	x^4-x^3-5x^2-7x-84=0	$x^{4} - x^{3} - 5 x^{2} - 7 x - 84 = 0$
7710	Find the Roots (Zeros)	x^4-x^3-8x+8=0	$x^{4} - x^{3} - 8 x + 8 = 0$
7711	Find the Roots (Zeros)	x^3+3x^2-13x-15	$x^{3} + 3 x^{2} - 13 x - 15$
7712	Find the Roots (Zeros)	x^2-4x-2	$x^{2} - 4 x - 2$
7713	Find the Roots (Zeros)	x^2-2x-8=0	$x^{2} - 2 x - 8 = 0$
7714	Find the Roots (Zeros)	x^2-4x+13	$x^{2} - 4 x + 13$
7715	Find the Roots (Zeros)	x^3-x^2-14x+24=0	$x^{3} - x^{2} - 14 x + 24 = 0$
7716	Find the Roots (Zeros)	square root of 12x+4+3x=7	$\sqrt{12 x + 4} + 3 x = 7$
7717	Find the Roots (Zeros)	x^2+2x=1	$x^{2} + 2 x = 1$
7718	Find the Roots (Zeros)	square root of 121-x-x=11	$\sqrt{121 - x} - x = 11$
7719	Find the Roots (Zeros)	x^2-12x+36=0	$x^{2} - 12 x + 36 = 0$
7720	Find the Roots (Zeros)	f(x)=x^4-2x^2+36x-80	$f (x) = x^{4} - 2 x^{2} + 36 x - 80$
7721	Find the Roots (Zeros)	f(x)=2x^3+9x^2+15x-8	$f (x) = 2 x^{3} + 9 x^{2} + 15 x - 8$
7722	Find the Roots (Zeros)	f(x)=3x^4+5x^3+25x^2+45x-18	$f (x) = 3 x^{4} + 5 x^{3} + 25 x^{2} + 45 x - 18$
7723	Find the Roots (Zeros)	f(x)=x^4+5x^3+4x^2	$f (x) = x^{4} + 5 x^{3} + 4 x^{2}$
7724	Find the Roots (Zeros)	f(x)=x^5+6x^4-40x^2-16x+64	$f (x) = x^{5} + 6 x^{4} - 40 x^{2} - 16 x + 64$
7725	Find the Roots (Zeros)	f(x)=x^3-8x^2+9x-72	$f (x) = x^{3} - 8 x^{2} + 9 x - 72$
7726	Find the Roots (Zeros)	f(x)=9x^3-72x^2+135x	$f (x) = 9 x^{3} - 72 x^{2} + 135 x$
7727	Find the Roots (Zeros)	p(x)=x^4-5x^2+4	$p (x) = x^{4} - 5 x^{2} + 4$
7728	Find the Roots (Zeros)	y=(2^x-2^(-x))/2	$y = \frac{2^{x} - 2^{- x}}{2}$
7729	Find the Roots (Zeros)	x^3+4x^2-x-4	$x^{3} + 4 x^{2} - x - 4$
7730	Find the Roots (Zeros)	x^3-6x^2+12x-8	$x^{3} - 6 x^{2} + 12 x - 8$
7731	Find the Roots (Zeros)	x^4+2x^2+1	$x^{4} + 2 x^{2} + 1$
7732	Find the Roots (Zeros)	x^7(8e^(8x))+7x^6e^(8x)	$x^{7} (8 e^{8 x}) + 7 x^{6} e^{8 x}$
7733	Find the Roots (Zeros)	185x^4-2x^3+178x^2-2x-7	$185 x^{4} - 2 x^{3} + 178 x^{2} - 2 x - 7$
7734	Solve by Completing the Square	4x^2-9x-2=0	$4 x^{2} - 9 x - 2 = 0$
7735	Find the Roots (Zeros)	x^3-7x^2-x+87	$x^{3} - 7 x^{2} - x + 87$
7736	Find the Roots (Zeros)	x^3+5x^2-28x-32	$x^{3} + 5 x^{2} - 28 x - 32$
7737	Find the Roots (Zeros)	7sin(x)^2-14sin(x)+2=-5	$7 \sin^{2} (x) - 14 \sin (x) + 2 = - 5$
7738	Find the Roots (Zeros)	x^4+6x^3-11x^2-24x+28	$x^{4} + 6 x^{3} - 11 x^{2} - 24 x + 28$
7739	Find the Roots (Zeros)	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
7740	Find the Roots (Zeros)	f(x)=3x^3-9x^2-9x-27	$f (x) = 3 x^{3} - 9 x^{2} - 9 x - 27$
7741	Find the Roots (Zeros)	2x^4-7x^3+x^2-18x+3	$2 x^{4} - 7 x^{3} + x^{2} - 18 x + 3$
7742	Solve by Completing the Square	-6x^2+12x+378=0	$- 6 x^{2} + 12 x + 378 = 0$
7743	Solve by Completing the Square	5p^2+20p+25=10	$5 p^{2} + 20 p + 25 = 10$
7744	Solve by Completing the Square	4x^2=10x-9	$4 x^{2} = 10 x - 9$
7745	Solve by Completing the Square	4x^2=-16x+9	$4 x^{2} = - 16 x + 9$
7746	Solve by Completing the Square	4x^2=2x-7	$4 x^{2} = 2 x - 7$
7747	Solve by Completing the Square	4x^2-16x+9=0	$4 x^{2} - 16 x + 9 = 0$
7748	Solve by Completing the Square	4x^2-2x+11=0	$4 x^{2} - 2 x + 11 = 0$
7749	Solve by Completing the Square	4x^2-8x+2=0	$4 x^{2} - 8 x + 2 = 0$
7750	Solve by Completing the Square	4x^2-16x+14=0	$4 x^{2} - 16 x + 14 = 0$
7751	Solve by Completing the Square	4x^2-8x-3=0	$4 x^{2} - 8 x - 3 = 0$
7752	Solve by Completing the Square	3x^2-6x-59=4	$3 x^{2} - 6 x - 59 = 4$
7753	Solve by Completing the Square	9x^2+36x+20=0	$9 x^{2} + 36 x + 20 = 0$
7754	Solve by Completing the Square	x(2x-3)=93	$x (2 x - 3) = 93$
7755	Solve by Completing the Square	3x^2-2x-1=0	$3 x^{2} - 2 x - 1 = 0$
7756	Solve by Completing the Square	3x^2+6x-5=0	$3 x^{2} + 6 x - 5 = 0$
7757	Solve by Completing the Square	3x^2+13x+10=10	$3 x^{2} + 13 x + 10 = 10$
7758	Solve by Completing the Square	3x^2+4x+1=0	$3 x^{2} + 4 x + 1 = 0$
7759	Solve by Completing the Square	2x^2-7x+9=(x-3)(x+1)+3x	$2 x^{2} - 7 x + 9 = (x - 3) (x + 1) + 3 x$
7760	Solve by Completing the Square	z^2-2z-24=0	$z^{2} - 2 z - 24 = 0$
7761	Solve by Completing the Square	2r^2+3r=9	$2 r^{2} + 3 r = 9$
7762	Solve by Completing the Square	15x^2+58x+48=0	$15 x^{2} + 58 x + 48 = 0$
7763	Solve by Completing the Square	2x^2+4x-6=0	$2 x^{2} + 4 x - 6 = 0$
7764	Solve by Completing the Square	x^2-8x-8=0	$x^{2} - 8 x - 8 = 0$
7765	Solve by Completing the Square	x^2-x-12=0	$x^{2} - x - 12 = 0$
7766	Solve by Completing the Square	y^2+8y-2=0	$y^{2} + 8 y - 2 = 0$
7767	Solve by Completing the Square	z^2-6z+5=0	$z^{2} - 6 z + 5 = 0$
7768	Solve by Completing the Square	x^2-4x-15=0	$x^{2} - 4 x - 15 = 0$
7769	Solve by Completing the Square	x^2-7x+5/4=0	$x^{2} - 7 x + \frac{5}{4} = 0$
7770	Solve by Completing the Square	x^2-7x=3	$x^{2} - 7 x = 3$
7771	Solve by Completing the Square	x^2-12x+61=0	$x^{2} - 12 x + 61 = 0$
7772	Solve by Completing the Square	x^2+x-15/4=0	$x^{2} + x - \frac{15}{4} = 0$
7773	Solve by Completing the Square	x^2+8x+6=0	$x^{2} + 8 x + 6 = 0$
7774	Solve by Completing the Square	x^2+6x=-19	$x^{2} + 6 x = - 19$
7775	Solve by Completing the Square	x^2+8x+13=0	$x^{2} + 8 x + 13 = 0$
7776	Solve by Completing the Square	x^2=5/6x-1/6	$x^{2} = \frac{5}{6} x - \frac{1}{6}$
7777	Solve by Completing the Square	x^2-3/4x+1/8=0	$x^{2} - \frac{3}{4} x + \frac{1}{8} = 0$
7778	Solve by Completing the Square	x^2+10x=-24	$x^{2} + 10 x = - 24$
7779	Solve by Completing the Square	p^2-3p-88=0	$p^{2} - 3 p - 88 = 0$
7780	Solve by Completing the Square	x^2+15x+56=0	$x^{2} + 15 x + 56 = 0$
7781	Divide	( cube root of 6(2)^(1/4)(3)^(1/6))/((6 fourth root of 8 square root of 3)^(1/3))	$\frac{\sqrt[3]{6} {(2)}^{\frac{1}{4}} {(3)}^{\frac{1}{6}}}{{(6 \sqrt[4]{8} \sqrt{3})}^{\frac{1}{3}}}$
7782	Divide	(1/3x^3-2/9x^2+2/27x-1/81)/(x-1/3)	$\frac{\frac{1}{3} x^{3} - \frac{2}{9} x^{2} + \frac{2}{27} x - \frac{1}{81}}{x - \frac{1}{3}}$
7783	Divide	(pi/2)/2	$\frac{\frac{π}{2}}{2}$
7784	Divide	(x/2-1)/(x-2)	$\frac{\frac{x}{2} - 1}{x - 2}$
7785	Divide	(x^2-2x)/(x+9)	$\frac{x^{2} - 2 x}{x + 9}$
7786	Divide	((4s^-6t^4)^(3/2))/((8s^4t^-4)^(2/3))	$\frac{{(4 s^{- 6} t^{4})}^{\frac{3}{2}}}{{(8 s^{4} t^{- 4})}^{\frac{2}{3}}}$
7787	Divide	(x^2-49)/(x+4)	$\frac{x^{2} - 49}{x + 4}$
7788	Divide	(x^2-5x-5)/(x^4-5x^3-9x^2+40x+40)	$\frac{x^{2} - 5 x - 5}{x^{4} - 5 x^{3} - 9 x^{2} + 40 x + 40}$
7789	Divide	(x^3+4x^2-6x+2)/(x-3)	$\frac{x^{3} + 4 x^{2} - 6 x + 2}{x - 3}$
7790	Divide	(x^3+8x^2-3x-90)/(x+5)	$\frac{x^{3} + 8 x^{2} - 3 x - 90}{x + 5}$
7791	Divide	(x^3-2x^2+5x+1)/(x-1)	$\frac{x^{3} - 2 x^{2} + 5 x + 1}{x - 1}$
7792	Divide	(x^3+6x^2-1x-30)/(x-2)	$\frac{x^{3} + 6 x^{2} - 1 x - 30}{x - 2}$
7793	Divide	(x^3+3x^2+4x+3)/(3x+6)	$\frac{x^{3} + 3 x^{2} + 4 x + 3}{3 x + 6}$
7794	Divide	(x^3-x^2-6x-4)/(x+1)	$\frac{x^{3} - x^{2} - 6 x - 4}{x + 1}$
7795	Divide	(x^3+x^2-11x+4)/(x+4)	$\frac{x^{3} + x^{2} - 11 x + 4}{x + 4}$
7796	Divide	(x^3-22x+15)/(x+5)	$\frac{x^{3} - 22 x + 15}{x + 5}$
7797	Divide	(x^3-2x^2-23x+60)/(x-4)	$\frac{x^{3} - 2 x^{2} - 23 x + 60}{x - 4}$
7798	Divide	(x^3-3x+4)/(x+2)	$\frac{x^{3} - 3 x + 4}{x + 2}$
7799	Divide	(x^3-4x^2+x-2)/(x-5)	$\frac{x^{3} - 4 x^{2} + x - 2}{x - 5}$
7800	Divide	(1-a-1)/(1+a-1)	$\frac{1 - a - 1}{1 + a - 1}$