Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7501	Find the Roots (Zeros)	f(x)=x^3-x^2-16x-20	$f (x) = x^{3} - x^{2} - 16 x - 20$
7502	Find the Roots (Zeros)	f(x)=x^3+2x^2-9x+8	$f (x) = x^{3} + 2 x^{2} - 9 x + 8$
7503	Find the Roots (Zeros)	f(x)=x^3+10x^2+36x+40	$f (x) = x^{3} + 10 x^{2} + 36 x + 40$
7504	Find the Roots (Zeros)	f(x)=x^3+10x^2+29x+20	$f (x) = x^{3} + 10 x^{2} + 29 x + 20$
7505	Find the Roots (Zeros)	f(x)=x^3+10x^2+33x+34	$f (x) = x^{3} + 10 x^{2} + 33 x + 34$
7506	Find the Roots (Zeros)	f(x)=x^3+11x^2+39x+29	$f (x) = x^{3} + 11 x^{2} + 39 x + 29$
7507	Find the Roots (Zeros)	f(x)=x^2-12x+26	$f (x) = x^{2} - 12 x + 26$
7508	Find the Roots (Zeros)	f(x)=x^2+8x+15	$f (x) = x^{2} + 8 x + 15$
7509	Find the Roots (Zeros)	f(x)=x^2e^2-25e^x	$f (x) = x^{2} e^{2} - 25 e^{x}$
7510	Find the Roots (Zeros)	f(x)=\|x^2-3\|	$f (x) = \| x^{2} - 3 \|$
7511	Find the Roots (Zeros)	cos(x)=sin(2x)	$\cos (x) = \sin (2 x)$
7512	Find the Roots (Zeros)	cot(-8)cos(-8)+sin(-8)=-csc(8)	$\cot (- 8) \cos (- 8) + \sin (- 8) = - \csc (8)$
7513	Find the Roots (Zeros)	f(x)=x^2(x-2)(x+4)	$f (x) = x^{2} (x - 2) (x + 4)$
7514	Find the Roots (Zeros)	f(x)=x^2-6x+7	$f (x) = x^{2} - 6 x + 7$
7515	Find the Roots (Zeros)	f(x)=x^2-50	$f (x) = x^{2} - 50$
7516	Find the Roots (Zeros)	f(x)=x^3-x^2-2x	$f (x) = x^{3} - x^{2} - 2 x$
7517	Find the Roots (Zeros)	f(x)=x^3+x^2-12x	$f (x) = x^{3} + x^{2} - 12 x$
7518	Find the Roots (Zeros)	F(x)=x^3+x^2-6x	$F (x) = x^{3} + x^{2} - 6 x$
7519	Find the Roots (Zeros)	f(x)=x^3+x^2-37x+35	$f (x) = x^{3} + x^{2} - 37 x + 35$
7520	Find the Roots (Zeros)	f(x)=x^3+x^2-3x+1	$f (x) = x^{3} + x^{2} - 3 x + 1$
7521	Find the Roots (Zeros)	f(x)=x^3+10x^2+18x-36	$f (x) = x^{3} + 10 x^{2} + 18 x - 36$
7522	Find the Roots (Zeros)	f(x)=x^2-x-20	$f (x) = x^{2} - x - 20$
7523	Find the Roots (Zeros)	g(x)=x^4-9x^2	$g (x) = x^{4} - 9 x^{2}$
7524	Find the Roots (Zeros)	f(x)=7x^4+49x^2+14	$f (x) = 7 x^{4} + 49 x^{2} + 14$
7525	Find the Roots (Zeros)	g(x)=2x^2-7x+6	$g (x) = 2 x^{2} - 7 x + 6$
7526	Find the Roots (Zeros)	g(x)=5x^4+32x^3-22x^2-8x-7	$g (x) = 5 x^{4} + 32 x^{3} - 22 x^{2} - 8 x - 7$
7527	Find the Roots (Zeros)	g(x)=2x^3-5x^2-3x+11	$g (x) = 2 x^{3} - 5 x^{2} - 3 x + 11$
7528	Find the Roots (Zeros)	f(x)=8cos(x)^2-4	$f (x) = 8 \cos^{2} (x) - 4$
7529	Find the Roots (Zeros)	g(x)=(x-2)(x+4)^3	$g (x) = (x - 2) {(x + 4)}^{3}$
7530	Find the Roots (Zeros)	g(x)=(x^2-16)/(x+4)	$g (x) = \frac{x^{2} - 16}{x + 4}$
7531	Find the Roots (Zeros)	g(x)=x^2+10x+23	$g (x) = x^{2} + 10 x + 23$
7532	Find the Roots (Zeros)	g(x)=x^3+3x^2-4x-12	$g (x) = x^{3} + 3 x^{2} - 4 x - 12$
7533	Find the Roots (Zeros)	f(x)=8x^4+2x^3+4x-5	$f (x) = 8 x^{4} + 2 x^{3} + 4 x - 5$
7534	Find the Roots (Zeros)	f(x)=x(x+2)(x-2)(3x^2-4)	$f (x) = x (x + 2) (x - 2) (3 x^{2} - 4)$
7535	Find the Roots (Zeros)	f(x)=3x^4-7x^3-3x^2-7x-6	$f (x) = 3 x^{4} - 7 x^{3} - 3 x^{2} - 7 x - 6$
7536	Find the Roots (Zeros)	f(x)=7x^3-71x^2+185x-25	$f (x) = 7 x^{3} - 71 x^{2} + 185 x - 25$
7537	Find the Roots (Zeros)	f(x)=6x^3+18x^2+12x	$f (x) = 6 x^{3} + 18 x^{2} + 12 x$
7538	Find the Roots (Zeros)	f(x)=6x^4+11x^3+27x^2-7x-5	$f (x) = 6 x^{4} + 11 x^{3} + 27 x^{2} - 7 x - 5$
7539	Find the Roots (Zeros)	f(x)=7x^4-2x^3+x^2-x+1	$f (x) = 7 x^{4} - 2 x^{3} + x^{2} - x + 1$
7540	Find the Roots (Zeros)	f(x)=6x^3+41x^2-9x-14	$f (x) = 6 x^{3} + 41 x^{2} - 9 x - 14$
7541	Find the Roots (Zeros)	f(x)=6x^4-17x^3-19x^2+68x-20	$f (x) = 6 x^{4} - 17 x^{3} - 19 x^{2} + 68 x - 20$
7542	Find the Roots (Zeros)	f(x)=5x^2-20x-5	$f (x) = 5 x^{2} - 20 x - 5$
7543	Find the Roots (Zeros)	f(x)=3x^4-5x+1	$f (x) = 3 x^{4} - 5 x + 1$
7544	Find the Roots (Zeros)	f(x)=-4x^2(x-9)(x+4)^3	$f (x) = - 4 x^{2} (x - 9) {(x + 4)}^{3}$
7545	Find the Roots (Zeros)	f(x)=-4sin(x)	$f (x) = - 4 \sin (x)$
7546	Find the Roots (Zeros)	f(x)=5x^2+4x-1	$f (x) = 5 x^{2} + 4 x - 1$
7547	Find the Roots (Zeros)	f(x)=5(x+8)^2(x-8)^3	$f (x) = 5 {(x + 8)}^{2} {(x - 8)}^{3}$
7548	Find the Roots (Zeros)	f(x)=5x^4+44x^2-36x-9	$f (x) = 5 x^{4} + 44 x^{2} - 36 x - 9$
7549	Find the Roots (Zeros)	f(x)=5x^3-9x^2+28x+6	$f (x) = 5 x^{3} - 9 x^{2} + 28 x + 6$
7550	Find the Roots (Zeros)	f(x)=-5x^4+20x^2	$f (x) = - 5 x^{4} + 20 x^{2}$
7551	Find the Roots (Zeros)	f(x)=5x^4-43x^3+119x^2-117x+36	$f (x) = 5 x^{4} - 43 x^{3} + 119 x^{2} - 117 x + 36$
7552	Find the Roots (Zeros)	f(x)=-2x^4+4x^3+3x^2+18	$f (x) = - 2 x^{4} + 4 x^{3} + 3 x^{2} + 18$
7553	Find the Roots (Zeros)	f(x)=2x^3-6x+10x-3	$f (x) = 2 x^{3} - 6 x + 10 x - 3$
7554	Find the Roots (Zeros)	f(x)=2x^4-5x^3+5x-2	$f (x) = 2 x^{4} - 5 x^{3} + 5 x - 2$
7555	Find the Roots (Zeros)	f(x)=3(x+7)^2(x-7)^3	$f (x) = 3 {(x + 7)}^{2} {(x - 7)}^{3}$
7556	Find the Roots (Zeros)	f(x)=-3x^3+20x-36x+16	$f (x) = - 3 x^{3} + 20 x - 36 x + 16$
7557	Find the Roots (Zeros)	f(x)=-3x^3+11x^2+19x+5	$f (x) = - 3 x^{3} + 11 x^{2} + 19 x + 5$
7558	Find the Roots (Zeros)	f(x)=3x^2+5x+9	$f (x) = 3 x^{2} + 5 x + 9$
7559	Find the Roots (Zeros)	f(x)=2x^4-15x^3+23x^2+15x-25	$f (x) = 2 x^{4} - 15 x^{3} + 23 x^{2} + 15 x - 25$
7560	Find the Roots (Zeros)	f(x)=2x^4-2x^2-40	$f (x) = 2 x^{4} - 2 x^{2} - 40$
7561	Find the Roots (Zeros)	f(x)=25x^4+51x^3+77x^2+153x+6	$f (x) = 25 x^{4} + 51 x^{3} + 77 x^{2} + 153 x + 6$
7562	Find the Roots (Zeros)	f(x)=2sec(x)-3	$f (x) = 2 \sec (x) - 3$
7563	Find the Roots (Zeros)	f(x)=2x(x-4)^2(x-3^2)	$f (x) = 2 x {(x - 4)}^{2} (x - 3^{2})$
7564	Find the Roots (Zeros)	f(x)=4x^5+12x^4-11x^3-42x^2+7x+30	$f (x) = 4 x^{5} + 12 x^{4} - 11 x^{3} - 42 x^{2} + 7 x + 30$
7565	Find the Roots (Zeros)	f(x)=4x^4-21x^2+5	$f (x) = 4 x^{4} - 21 x^{2} + 5$
7566	Find the Roots (Zeros)	f(x)=4x^3-8x^2-29x-12	$f (x) = 4 x^{3} - 8 x^{2} - 29 x - 12$
7567	Find the Roots (Zeros)	f(x)=4x^3-11x^2+12x-6	$f (x) = 4 x^{3} - 11 x^{2} + 12 x - 6$
7568	Find the Roots (Zeros)	f(x)=3cos(x)	$f (x) = 3 \cos (x)$
7569	Find the Roots (Zeros)	f(x)=4x^2+3x+1	$f (x) = 4 x^{2} + 3 x + 1$
7570	Find the Roots (Zeros)	f(x)=3x^5-6x^4+15x^3	$f (x) = 3 x^{5} - 6 x^{4} + 15 x^{3}$
7571	Find the Roots (Zeros)	f(x)=3x^4+8x^3+6x^2+3x-2	$f (x) = 3 x^{4} + 8 x^{3} + 6 x^{2} + 3 x - 2$
7572	Find the Roots (Zeros)	f(x)=3x^4+x^2-1	$f (x) = 3 x^{4} + x^{2} - 1$
7573	Find the Roots (Zeros)	f(x)=3x^3-13x^2+13x-3	$f (x) = 3 x^{3} - 13 x^{2} + 13 x - 3$
7574	Find the Roots (Zeros)	f(x)=3x^3-5x^2-8x-2	$f (x) = 3 x^{3} - 5 x^{2} - 8 x - 2$
7575	Find the Roots (Zeros)	f(x)=3x^3-2x^2+75x-50	$f (x) = 3 x^{3} - 2 x^{2} + 75 x - 50$
7576	Find the Roots (Zeros)	p(x)=x^3-x^2-21x+45	$p (x) = x^{3} - x^{2} - 21 x + 45$
7577	Find the Roots (Zeros)	p(x)=x^3+x^2+81x+81	$p (x) = x^{3} + x^{2} + 81 x + 81$
7578	Find the Roots (Zeros)	p(x)=x^3+8x^2+22x+24	$p (x) = x^{3} + 8 x^{2} + 22 x + 24$
7579	Find the Roots (Zeros)	P(x)=x^3-16x^2+55x+72	$P (x) = x^{3} - 16 x^{2} + 55 x + 72$
7580	Find the Roots (Zeros)	natural log of natural log of x=1.5	$\ln (\ln (x)) = 1.5$
7581	Find the Roots (Zeros)	f(x)=-cos(2x)+cos(x)^2	$f (x) = - \cos (2 x) + \cos^{2} (x)$
7582	Find the Roots (Zeros)	h(x)=2x^4+6x^3-x^2-x-7	$h (x) = 2 x^{4} + 6 x^{3} - x^{2} - x - 7$
7583	Find the Roots (Zeros)	p(x)=x^2-8x+17	$p (x) = x^{2} - 8 x + 17$
7584	Find the Roots (Zeros)	g(x)=8x^5+18x^4-5x^3-72x^2-162x+45	$g (x) = 8 x^{5} + 18 x^{4} - 5 x^{3} - 72 x^{2} - 162 x + 45$
7585	Find the Roots (Zeros)	h(t)=t^2-6t+9	$h (t) = t^{2} - 6 t + 9$
7586	Find the Roots (Zeros)	h(t)=t^3-2t^2-7t+2	$h (t) = t^{3} - 2 t^{2} - 7 t + 2$
7587	Find the Roots (Zeros)	natural log of x=( log of 10e)/( log of 10x)	$\ln (x) = \frac{\log (10) e}{\log (10) x}$
7588	Find the Roots (Zeros)	p(x)=6x^3-8x^2+5x-1	$p (x) = 6 x^{3} - 8 x^{2} + 5 x - 1$
7589	Find the Roots (Zeros)	R(x)=2x^4+19x^3+53x^2+38x+8	$R (x) = 2 x^{4} + 19 x^{3} + 53 x^{2} + 38 x + 8$
7590	Find the Roots (Zeros)	P(x)=3x^2+32x^2+32x+37	$P (x) = 3 x^{2} + 32 x^{2} + 32 x + 37$
7591	Find the Roots (Zeros)	p(x)=8x^3+10x^2-x-3	$p (x) = 8 x^{3} + 10 x^{2} - x - 3$
7592	Find the Roots (Zeros)	r = square root of 3+2cos(x)	$r = \sqrt{3} + 2 \cos (x)$
7593	Find the Roots (Zeros)	S(w)=w^4-w^3-29w^2-w-30	$S (w) = w^{4} - w^{3} - 29 w^{2} - w - 30$
7594	Find the Roots (Zeros)	p(x)=3x^3+x^2-7x-5	$p (x) = 3 x^{3} + x^{2} - 7 x - 5$
7595	Find the Roots (Zeros)	P(x)=3x^4-7x^3-37x^2-17x+10	$P (x) = 3 x^{4} - 7 x^{3} - 37 x^{2} - 17 x + 10$
7596	Find the Roots (Zeros)	p(x)=4x^6+3x^4+x^2+5	$p (x) = 4 x^{6} + 3 x^{4} + x^{2} + 5$
7597	Find the Roots (Zeros)	p(x)=81x^4-256	$p (x) = 81 x^{4} - 256$
7598	Find the Roots (Zeros)	Q(x)=x^4-1	$Q (x) = x^{4} - 1$
7599	Find the Roots (Zeros)	p(x)=x^4-8x^2-9	$p (x) = x^{4} - 8 x^{2} - 9$
7600	Find the Roots (Zeros)	p(x)=x^6-64	$p (x) = x^{6} - 64$