Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
16501	Solve by Factoring	x^3-6x^2+11x-6=0	$x^{3} - 6 x^{2} + 11 x - 6 = 0$
16502	Solve by Factoring	x^4-21x^2+80=0	$x^{4} - 21 x^{2} + 80 = 0$
16503	Solve by Factoring	1+1/x=30/(x^2)	$1 + \frac{1}{x} = \frac{30}{x^{2}}$
16504	Find All Complex Solutions	145=10x-8x	$145 = 10 x - 8 x$
16505	Solve by Factoring	(3x)/(x+1)=12/(x^2-1)+2	$\frac{3 x}{x + 1} = \frac{12}{x^{2} - 1} + 2$
16506	Find All Complex Solutions	2x^2-21x+27=0	$2 x^{2} - 21 x + 27 = 0$
16507	Solve by Factoring	square root of 29-x=x+1	$\sqrt{29 - x} = x + 1$
16508	Find All Complex Solutions	20x^2-47x+24=0	$20 x^{2} - 47 x + 24 = 0$
16509	Find All Complex Solutions	24x^2-47x+20=0	$24 x^{2} - 47 x + 20 = 0$
16510	Solve by Factoring	n^3-5n^2-n+5=0	$n^{3} - 5 n^{2} - n + 5 = 0$
16511	Find All Complex Solutions	15x^2-44x+21=0	$15 x^{2} - 44 x + 21 = 0$
16512	Solve by Factoring	n^3-2n^2-n+2=0	$n^{3} - 2 n^{2} - n + 2 = 0$
16513	Find All Complex Solutions	8x^2-5x+3=0	$8 x^{2} - 5 x + 3 = 0$
16514	Solve by Factoring	(x-4)^(2/3)=16	${(x - 4)}^{\frac{2}{3}} = 16$
16515	Find the Roots (Zeros)	f(x)=6x^3+25x^2-24x+5	$f (x) = 6 x^{3} + 25 x^{2} - 24 x + 5$
16516	Find the Roots (Zeros)	x^3-5x^2-4x+20=0	$x^{3} - 5 x^{2} - 4 x + 20 = 0$
16517	Find All Complex Solutions	x^2-16x+68=0	$x^{2} - 16 x + 68 = 0$
16518	Find the Roots (Zeros)	f(x)=x^3-6x^2+9x	$f (x) = x^{3} - 6 x^{2} + 9 x$
16519	Find All Complex Solutions	x^2-5x=-9/4	$x^{2} - 5 x = - \frac{9}{4}$
16520	Find the Roots (Zeros)	f(x)=x^3+x^2-42x	$f (x) = x^{3} + x^{2} - 42 x$
16521	Find All Complex Solutions	x^4+14x^3+14x^2+14x+13=0	$x^{4} + 14 x^{3} + 14 x^{2} + 14 x + 13 = 0$
16522	Solve by Completing the Square	x^2-8x-9=0	$x^{2} - 8 x - 9 = 0$
16523	Find All Complex Solutions	x^4+20x^2+64=0	$x^{4} + 20 x^{2} + 64 = 0$
16524	Solve by Completing the Square	x^2-6x-1=0	$x^{2} - 6 x - 1 = 0$
16525	Find All Complex Solutions	x^3+5x^2-8x-20=0	$x^{3} + 5 x^{2} - 8 x - 20 = 0$
16526	Write in Standard Form	(3-i)/(1+i)	$\frac{3 - i}{1 + i}$
16527	Solve by Completing the Square	x^2+18x+70=0	$x^{2} + 18 x + 70 = 0$
16528	Write as a Function of b	(y^b)^4=1/(y^24)	${(y^{b})}^{4} = \frac{1}{y^{24}}$
16529	Solve by Completing the Square	x^2+2x=15	$x^{2} + 2 x = 15$
16530	Write as a Function of s	a=( square root of 3)/4(s)^2	$a = \frac{\sqrt{3}}{4} {(s)}^{2}$
16531	Solve by Completing the Square	x^2+8x=10	$x^{2} + 8 x = 10$
16532	Write as a Function of n	C(n)=20n+15	$C (n) = 20 n + 15$
16533	Write as a Function of a	7+423^(2-3a)=143^(-2a)+7	$7 + 42 \cdot 3^{2 - 3 a} = 14 \cdot 3^{- 2 a} + 7$
16534	Solve by Completing the Square	x^2-3x+2=0	$x^{2} - 3 x + 2 = 0$
16535	Write as a Function of c	c(n)=20n+15	$c (n) = 20 n + 15$
16536	Solve by Factoring	5x = square root of 10+15x	$5 x = \sqrt{10 + 15 x}$
16537	Write as a Function of a	a=( square root of 3)/4(s)^2	$a = \frac{\sqrt{3}}{4} {(s)}^{2}$
16538	Solve by Factoring	5-3^x=-40	$5 - 3^{x} = - 40$
16539	Write as a Function of g	g(x)=13-x^2	$g (x) = 13 - x^{2}$
16540	Solve by Factoring	6x = square root of 24+12x	$6 x = \sqrt{24 + 12 x}$
16541	Write as a Function of v	v=x^4-50x^2+700	$v = x^{4} - 50 x^{2} + 700$
16542	Solve by Factoring	4x^3-32=0	$4 x^{3} - 32 = 0$
16543	Write as a Function of y	x+y=32	$x + y = 32$
16544	Solve by Factoring	4x^2-12x+9=0	$4 x^{2} - 12 x + 9 = 0$
16545	Write as a Function of y	x=\|7y\|	$x = \| 7 y \|$
16546	Write as a Function of y	x+y=25	$x + y = 25$
16547	Solve by Factoring	2x = square root of 1+3x	$2 x = \sqrt{1 + 3 x}$
16548	Write as a Function of y	5x=y^2	$5 x = y^{2}$
16549	Solve by Factoring	27x^3+125=0	$27 x^{3} + 125 = 0$
16550	Write as a Function of y	y=1/( square root of x)	$y = \frac{1}{\sqrt{x}}$
16551	Write in Slope-Intercept Form	2x-5y=10	$2 x - 5 y = 10$
16552	Write as a Function of y	(y^b)^4=1/(y^24)	${(y^{b})}^{4} = \frac{1}{y^{24}}$
16553	Write in Slope-Intercept Form	2x-y=3	$2 x - y = 3$
16554	Write as a Function of y	x+y=23	$x + y = 23$
16555	Write in Slope-Intercept Form	2x-y=4	$2 x - y = 4$
16556	Write as a Function of y	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
16557	Find the Slope and y-intercept	y=2x-5	$y = 2 x - 5$
16558	Write as a Function of y	6x=y^2	$6 x = y^{2}$
16559	Find the Slope and y-intercept	y=5x-2	$y = 5 x - 2$
16560	Solve by Factoring	9x^2-4=0	$9 x^{2} - 4 = 0$
16561	Write as a Function of x	x+y=25	$x + y = 25$
16562	Solve by Factoring	9x^3-3x^2-3x+1=0	$9 x^{3} - 3 x^{2} - 3 x + 1 = 0$
16563	Solve by Factoring	x- square root of 4-3x=-8	$x - \sqrt{4 - 3 x} = - 8$
16564	Solve by Factoring	x- square root of 3-x=-3	$x - \sqrt{3 - x} = - 3$
16565	Write as a Function of x	log base 3 of 18x^3- log base 3 of 2x = log base 3 of 144	$\log_{3} (18 x^{3}) - \log_{3} (2 x) = \log_{3} (144)$
16566	Find the x and y Intercepts	f(x)=x^2-9	$f (x) = x^{2} - 9$
16567	Write as a Function of x	v=x^4-50x^2+700	$v = x^{4} - 50 x^{2} + 700$
16568	Find the x and y Intercepts	f(x)=x^3-4x^2-x+4	$f (x) = x^{3} - 4 x^{2} - x + 4$
16569	Write as a Function of x	4x^2-3y=-x+2y	$4 x^{2} - 3 y = - x + 2 y$
16570	Find the x and y Intercepts	2x-2=y	$2 x - 2 = y$
16571	Find the x and y Intercepts	2x-4y=12	$2 x - 4 y = 12$
16572	Write as a Function of x	x+y=32	$x + y = 32$
16573	Find the x and y Intercepts	2x-5y=20	$2 x - 5 y = 20$
16574	Write as a Function of x	5x=y^2	$5 x = y^{2}$
16575	Find the x and y Intercepts	4x-7y=28	$4 x - 7 y = 28$
16576	Write as a Function of x	1/2x-5=1/3x+6	$\frac{1}{2} x - 5 = \frac{1}{3} x + 6$
16577	Write as a Function of x	x=\|7y\|	$x = \| 7 y \|$
16578	Write in Slope-Intercept Form	x+2y=8	$x + 2 y = 8$
16579	Write as a Function of x	x+y=23	$x + y = 23$
16580	Find the x and y Intercepts	x^2+y^2+4x-4y-1=0	$x^{2} + y^{2} + 4 x - 4 y - 1 = 0$
16581	Find the x and y Intercepts	x^2+y-49=0	$x^{2} + y - 49 = 0$
16582	Write as a Function of x	e^x+e^(-x)=7	$e^{x} + e^{- x} = 7$
16583	Find the x and y Intercepts	x^2+y-9=0	$x^{2} + y - 9 = 0$
16584	Write as a Function of x	6x=y^2	$6 x = y^{2}$
16585	Write as a Function of x	x^2+y^2=16	$x^{2} + y^{2} = 16$
16586	Write as a Function of f	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$
16587	Write as a Function of x	-3 1/2=1/2x+1/2x+x	$- 3 \frac{1}{2} = \frac{1}{2} x + \frac{1}{2} x + x$
16588	Calculate the Square Root	square root of 78	$\sqrt{78}$
16589	Calculate the Square Root	square root of 91	$\sqrt{91}$
16590	Write as a Function of x	-3y+ square root of x=-2x+(x+3)^2	$- 3 y + \sqrt{x} = - 2 x + {(x + 3)}^{2}$
16591	Divide	(x^2+9x+20)/(x+7)	$\frac{x^{2} + 9 x + 20}{x + 7}$
16592	Write as a Function of x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
16593	Simplify	(6y^3+17y-3)-(4y^3-11y+9)	$(6 y^{3} + 17 y - 3) - (4 y^{3} - 11 y + 9)$
16594	Convert to Set Notation	-1/2x>6	$- \frac{1}{2} x > 6$
16595	Factor	4x^3y-6x^2y^2+4x^2y	$4 x^{3} y - 6 x^{2} y^{2} + 4 x^{2} y$
16596	Solve Using the Quadratic Formula	4x^2-3x-2=0	$4 x^{2} - 3 x - 2 = 0$
16597	Convert to Set Notation	15x<-45	$15 x < - 45$
16598	Solve Using the Quadratic Formula	4x^2-x-14=0	$4 x^{2} - x - 14 = 0$
16599	Solve Using the Quadratic Formula	4x^2+2x-6=0	$4 x^{2} + 2 x - 6 = 0$
16600	Solve Using the Quadratic Formula	4w^2-25=0	$4 w^{2} - 25 = 0$