Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9401	Find the Discriminant	-7x^2+8x+2	$- 7 x^{2} + 8 x + 2$
9402	Simplify	cube root of 108	$\sqrt[3]{108}$
9403	Convert to a Simplified Fraction	68%	$68 %$
9404	Simplify	(a-b)^2	${(a - b)}^{2}$
9405	Simplify	(6x-7)^2	${(6 x - 7)}^{2}$
9406	Simplify	(7-9i)^2	${(7 - 9 i)}^{2}$
9407	Find the Center and Radius	(x+7)^2+(y-3)^2=16	${(x + 7)}^{2} + {(y - 3)}^{2} = 16$
9408	Simplify	(8x)^2	${(8 x)}^{2}$
9409	Add	(x^6+10x^5-6x^2-5x)+(-9x^5+5x^3+9x^2+x+10)	$(x^{6} + 10 x^{5} - 6 x^{2} - 5 x) + (- 9 x^{5} + 5 x^{3} + 9 x^{2} + x + 10)$
9410	Simplify	(2x)^2(4y)^2	${(2 x)}^{2} {(4 y)}^{2}$
9411	Add	(-2x^4+7x^2y-7)+(-9x^3+7xy+7)	$(- 2 x^{4} + 7 x^{2} y - 7) + (- 9 x^{3} + 7 x y + 7)$
9412	Simplify	(3a)^2	${(3 a)}^{2}$
9413	Add	(2b)/((b+a)^2)+(2a)/(b^2-a^2)	$\frac{2 b}{{(b + a)}^{2}} + \frac{2 a}{(b^{2} - a^{2})}$
9414	Simplify	(3y)^2	${(3 y)}^{2}$
9415	Find the Roots (Zeros)	f(x)=x^2-5x-24	$f (x) = x^{2} - 5 x - 24$
9416	Expand the Logarithmic Expression	natural log of x/(3y)	$\ln (\frac{x}{3 y})$
9417	Simplify	8^(2/3)	$8^{\frac{2}{3}}$
9418	Simplify	6/(x-1)-(5x)/4	$\frac{6}{x - 1} - \frac{5 x}{4}$
9419	Simplify	square root of 6a* square root of 3a^2	$\sqrt{6 a} \cdot \sqrt{3 a^{2}}$
9420	Solve by Graphing	log base 3 of x+2=1	$\log_{3} (x + 2) = 1$
9421	Simplify	square root of 500	$\sqrt{500}$
9422	Convert to Interval Notation	x^2<=2x+1	$x^{2} \leq 2 x + 1$
9423	Simplify	8x^0	$8 x^{0}$
9424	Find the Vertex Form	y=-3x^2-24x-46	$y = - 3 x^{2} - 24 x - 46$
9425	Simplify	8x^3	$8 x^{3}$
9426	Find the Domain and Range	f(x)=5^x+6	$f (x) = 5^{x} + 6$
9427	Graph	x<=1	$x \leq 1$
9428	Write as a Single Logarithm	natural log of 6+ natural log of 4	$\ln (6) + \ln (4)$
9429	Solve for x	7^(2x-1)=316	$7^{2 x - 1} = 316$
9430	Multiply	35*4	$35 \cdot 4$
9431	Simplify	3-5i	$3 - 5 i$
9432	Write in Standard Form	(x-5)(x+5)(2x-1)	$(x - 5) (x + 5) (2 x - 1)$
9433	Solve for x	\|x\|=7	$\| x \| = 7$
9434	Subtract	(7x-2)-(3x-5)	$(7 x - 2) - (3 x - 5)$
9435	Solve for x	5(3-x)-4(2-3x)>2	$5 (3 - x) - 4 (2 - 3 x) > 2$
9436	Solve Using the Quadratic Formula	-4x^2-19x+5=0	$- 4 x^{2} - 19 x + 5 = 0$
9437	Simplify	(2y^3*(3xy^3))/(3x^2y^4)	$\frac{2 y^{3} \cdot (3 x y^{3})}{3 x^{2} y^{4}}$
9438	Solve Using the Quadratic Formula	-5x^2-14x+3=0	$- 5 x^{2} - 14 x + 3 = 0$
9439	Simplify	1/( square root of 12z)	$\frac{1}{\sqrt{12 z}}$
9440	Find the Asymptotes	g(x)=x/(2-x)	$g (x) = \frac{x}{2 - x}$
9441	Simplify	4/( square root of 3)	$\frac{4}{\sqrt{3}}$
9442	Simplify	square root of 36x^5	$\sqrt{36 x^{5}}$
9443	Expand the Logarithmic Expression	log base 20 of m/(n^5p)	$\log_{20} (\frac{m}{n^{5} p})$
9444	Simplify	square root of 9/49	$\sqrt{\frac{9}{49}}$
9445	Find the Roots (Zeros)	f(x)=(x+5)(2x-8)	$f (x) = (x + 5) (2 x - 8)$
9446	Simplify	square root of x^2-12x+36	$\sqrt{x^{2} - 12 x + 36}$
9447	Simplify	square root of 25/36	$\sqrt{\frac{25}{36}}$
9448	Find the Center and Radius	(x^2-10x+25)+(y^2-16y+64)=16	$(x^{2} - 10 x + 25) + (y^{2} - 16 y + 64) = 16$
9449	Find the x and y Intercepts	y=3x^2-5x-5	$y = 3 x^{2} - 5 x - 5$
9450	Simplify	- square root of 252x^8y^19	$- \sqrt{252 x^{8} y^{19}}$
9451	Find the Inverse	f(x)=50000(0.8)^x	$f (x) = 50000 {(0.8)}^{x}$
9452	Simplify	square root of 16x^9	$\sqrt{16 x^{9}}$
9453	Find the Discriminant	3x^2+12x+5	$3 x^{2} + 12 x + 5$
9454	Simplify	( cube root of 5y^2)/( cube root of 9x^2)	$\frac{\sqrt[3]{5 y^{2}}}{\sqrt[3]{9 x^{2}}}$
9455	Simplify	(1/x+2/(x^2))/(x+8/(x^2))	$\frac{\frac{1}{x} + \frac{2}{x^{2}}}{x + \frac{8}{x^{2}}}$
9456	Rationalize the Denominator	( square root of x^5)/( square root of 3xy^3)	$\frac{\sqrt{x^{5}}}{\sqrt{3 x y^{3}}}$
9457	Multiply	( square root of x+5)( square root of x-5)	$(\sqrt{x} + 5) (\sqrt{x} - 5)$
9458	Convert to an Improper Fraction	1 1/3	$1 \frac{1}{3}$
9459	Multiply	( square root of x-3 square root of 3)( square root of x+3 square root of 3)	$(\sqrt{x} - 3 \sqrt{3}) (\sqrt{x} + 3 \sqrt{3})$
9460	Find the GCF	3x^2a+3xa^2	$3 x^{2} a + 3 x a^{2}$
9461	Multiply	( square root of x-2 square root of 2)( square root of x+2 square root of 2)	$(\sqrt{x} - 2 \sqrt{2}) (\sqrt{x} + 2 \sqrt{2})$
9462	Find the x and y Intercepts	y=1/2 log of x+1- log of 2x+10	$y = \frac{1}{2} \log (x + 1) - \log (2 x + 10)$
9463	Find the Roots (Zeros)	f(x)=x^2+2x-35	$f (x) = x^{2} + 2 x - 35$
9464	Find Three Ordered Pair Solutions	-x-4y=-10	$- x - 4 y = - 10$
9465	Divide	(60x^3)/(12x)	$\frac{60 x^{3}}{12 x}$
9466	Multiply	(8-3i)(6+5i)	$(8 - 3 i) (6 + 5 i)$
9467	Find the x and y Intercepts	10^x-100	$10^{x} - 100$
9468	Find the x and y Intercepts	f(x)=2x^3+2x^2-24x	$f (x) = 2 x^{3} + 2 x^{2} - 24 x$
9469	Find the x and y Intercepts	f(x)=2x^3-2x^2-84x	$f (x) = 2 x^{3} - 2 x^{2} - 84 x$
9470	Simplify	-2 square root of 48a^3b^4c^2	$- 2 \sqrt{48 a^{3} b^{4} c^{2}}$
9471	Find the Discriminant	4x^2-17x+3	$4 x^{2} - 17 x + 3$
9472	Simplify	(x+6)/(x^2+5x-6)	$\frac{x + 6}{x^{2} + 5 x - 6}$
9473	Simplify	fifth root of a^10b^9	$\sqrt[5]{a^{10} b^{9}}$
9474	Simplify	cube root of 9	$\sqrt[3]{9}$
9475	Simplify	cube root of -64x^9	$\sqrt[3]{- 64 x^{9}}$
9476	Convert to Radical Form	3x3/8	$3 x \frac{3}{8}$
9477	Simplify	cube root of 64x^4y^5	$\sqrt[3]{64 x^{4} y^{5}}$
9478	Evaluate the Function	f(0)=x/(x^2+1)	$f (0) = \frac{x}{x^{2} + 1}$
9479	Simplify	cube root of -125x^6	$\sqrt[3]{- 125 x^{6}}$
9480	Write in Standard Form	(-9-2i)/(-3i)	$\frac{- 9 - 2 i}{- 3 i}$
9481	Simplify	cube root of x^6y^5	$\sqrt[3]{x^{6} y^{5}}$
9482	Combine	-5.8c+4.2-3.1+1.4c	$- 5.8 c + 4.2 - 3.1 + 1.4 c$
9483	Simplify	cube root of x^27	$\sqrt[3]{x^{27}}$
9484	Combine	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
9485	Simplify	square root of 64x^7	$\sqrt{64 x^{7}}$
9486	Combine	r square root of t+s square root of t	$r \sqrt{t} + s \sqrt{t}$
9487	Simplify	square root of 900	$\sqrt{900}$
9488	Simplify	square root of 8x	$\sqrt{8 x}$
9489	Find the Asymptotes	f(x)=4^(x+1)-10	$f (x) = 4^{(x + 1)} - 10$
9490	Simplify	square root of 85	$\sqrt{85}$
9491	Solve Using the Quadratic Formula	18x^2-24x+87=0	$18 x^{2} - 24 x + 87 = 0$
9492	Solve by Factoring	x^(2/3)-2x^(1/3)-24=0	$x^{\frac{2}{3}} - 2 x^{\frac{1}{3}} - 24 = 0$
9493	Find the Domain and Range	y=3 natural log of x	$y = 3 \ln (x)$
9494	Solve by Factoring	x^2+8x+12=0	$x^{2} + 8 x + 12 = 0$
9495	Find the Domain	y=4 square root of 2x+7	$y = 4 \sqrt{2 x + 7}$
9496	Solve by Factoring	x^2+9x+18=0	$x^{2} + 9 x + 18 = 0$
9497	Find the LCD	5/(x^2)-3/(6x^2+12x)	$\frac{5}{x^{2}} - \frac{3}{6 x^{2} + 12 x}$
9498	Solve by Factoring	x^2+5x=0	$x^{2} + 5 x = 0$
9499	Subtract	(x^4)/(9x^2-16)-7/(12x-16)	$\frac{x^{4}}{9 x^{2} - 16} - \frac{7}{12 x - 16}$
9500	Convert to a Decimal	21%	$21 %$