Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
22901	Find the Discriminant	-8x^2-9x-5=0	$- 8 x^{2} - 9 x - 5 = 0$
22902	Factor	6x^3+6	$6 x^{3} + 6$
22903	Factor	6r^2-10r-24	$6 r^{2} - 10 r - 24$
22904	Find the Local Maxima and Minima	y=1/3x^3-5/2x^2+6x-5	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 5$
22905	Factor	6s^2-28s+16	$6 s^{2} - 28 s + 16$
22906	Factor	6x^2+19x+8	$6 x^{2} + 19 x + 8$
22907	Write with Rational (Fractional) Exponents	square root of -36	$\sqrt{- 36}$
22908	Find the Domain	f(x)=x^2 if x<=0; 1/x if x>0	$f (x) = {\begin{cases} x^{2} & x \leq 0 \\ \frac{1}{x} & x > 0 \end{cases}$
22909	Find the Average	[-2,2]	$[- 2, 2]$
22910	Find the Maximum/Minimum Value	y=-2x^2+32x-12	$y = - 2 x^{2} + 32 x - 12$
22911	Find the Maximum/Minimum Value	y=4x^2-32x+70	$y = 4 x^{2} - 32 x + 70$
22912	Find the Maximum/Minimum Value	y=4(x-1)^2+3	$y = 4 {(x - 1)}^{2} + 3$
22913	Convert to Radical Form	(1/81)^(1/4)	${(\frac{1}{81})}^{\frac{1}{4}}$
22914	Find the Maximum/Minimum Value	y=1/3x^3-5/2x^2+6x-3	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 3$
22915	Convert to Radical Form	(-64)^(1/3)	${(- 64)}^{\frac{1}{3}}$
22916	Find the Maximum/Minimum Value	y=1/3x^3-5/2x^2+6x-11	$y = \frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x - 11$
22917	Convert to Radical Form	(5x)^(2/3)	${(5 x)}^{\frac{2}{3}}$
22918	Find the Maximum/Minimum Value	y=-5x^2+10x+12	$y = - 5 x^{2} + 10 x + 12$
22919	Convert to Radical Form	(3x)^(3/4)	${(3 x)}^{\frac{3}{4}}$
22920	Find the Maximum/Minimum Value	y=x^2-10x+31	$y = x^{2} - 10 x + 31$
22921	Convert to Radical Form	81^(-3/4)	$81^{- \frac{3}{4}}$
22922	Find the Maximum/Minimum Value	y=x^2-8x-4	$y = x^{2} - 8 x - 4$
22923	Find the Maximum/Minimum Value	A=-2x^2+800x	$A = - 2 x^{2} + 800 x$
22924	Convert to Radical Form	64^(1/3)	$64^{\frac{1}{3}}$
22925	Convert to Radical Form	3^(1/3)	$3^{\frac{1}{3}}$
22926	Find the Maximum/Minimum Value	h=256t-32t^2	$h = 256 t - 32 t^{2}$
22927	Convert to Radical Form	-16^(1/4)	$- 16^{\frac{1}{4}}$
22928	Find the Maximum/Minimum Value	h=320t-32t^2	$h = 320 t - 32 t^{2}$
22929	Find the Intersection of the Inequalities	3x-4>5 , -8x-19<21	$3 x - 4 > 5$ , $- 8 x - 19 < 21$
22930	Convert to Interval Notation	x^2-7x>0	$x^{2} - 7 x > 0$
22931	Find the Range	f(x)=-4x^2-12x+7	$f (x) = - 4 x^{2} - 12 x + 7$
22932	Find the Range	f(x)=-3\|x-4\|+5	$f (x) = - 3 \| x - 4 \| + 5$
22933	Simplify	square root of -128	$\sqrt{- 128}$
22934	Find the Range	f(x)=x^3-15	$f (x) = x^{3} - 15$
22935	Find the Range	f(x)=-4x^2-4x+9	$f (x) = - 4 x^{2} - 4 x + 9$
22936	Simplify	i^5*8	$i^{58}$
22937	Find the Range	F(x) = log base 0.5 of x	$F (x) = \log_{0.5} (x)$
22938	Find the Domain and Range	f(x)=3x^2-x-2	$f (x) = 3 x^{2} - x - 2$
22939	Find the Range	f(x)=-1/2x^2+7x-9	$f (x) = - \frac{1}{2} x^{2} + 7 x - 9$
22940	Graph	y = log of -x	$y = \log (- x)$
22941	Find the Range	f(x)=-1/3\|x-1\|-2	$f (x) = - \frac{1}{3} \| x - 1 \| - 2$
22942	Convert to Interval Notation	-12<12+4x<0	$- 12 < 12 + 4 x < 0$
22943	Find the Range	f(x)=2/(x^2-2x-3)	$f (x) = \frac{2}{x^{2} - 2 x - 3}$
22944	Solve by Addition/Elimination	3x-7y=33 , -5x+4y=-55	$3 x - 7 y = 33$ , $- 5 x + 4 y = - 55$
22945	Solve by Addition/Elimination	x+y-2z=5 , -x+2y+z=2 , 2x+3y-z=9	$x + y - 2 z = 5$ , $- x + 2 y + z = 2$ , $2 x + 3 y - z = 9$
22946	Find the Range	f(x)=5/(x^2-25)	$f (x) = \frac{5}{x^{2} - 25}$
22947	Find the Range	f(x)=- fourth root of x	$f (x) = - \sqrt[4]{x}$
22948	Solve by Substitution	x+y=8 , x+y=7	$x + y = 8$ , $x + y = 7$
22949	Solve by Substitution	x-4y=-4 , -x+4y=4	$x - 4 y = - 4$ , $- x + 4 y = 4$
22950	Solve by Substitution	y=4x-9 , y=x-3	$y = 4 x - 9$ , $y = x - 3$
22951	Find the Axis of Symmetry	y=-2x^2+16x-30	$y = - 2 x^{2} + 16 x - 30$
22952	Find the Axis of Symmetry	y=2x^2-4x+12	$y = 2 x^{2} - 4 x + 12$
22953	Solve for z	7- square root of 3z+2=4	$7 - \sqrt{3 z + 2} = 4$
22954	Find the Axis of Symmetry	y=3x^2+12x+1	$y = 3 x^{2} + 12 x + 1$
22955	Solve for x	x^4+12x=4x^2+3x^3	$x^{4} + 12 x = 4 x^{2} + 3 x^{3}$
22956	Find the Axis of Symmetry	3y^2=24x	$3 y^{2} = 24 x$
22957	Find the Maximum/Minimum Value	p(x)=-750x^2+15000x	$p (x) = - 750 x^{2} + 15000 x$
22958	Find the Midpoint	(10,4) , (2,6)	$(10, 4)$ , $(2, 6)$
22959	Find the Axis of Symmetry	y=\|x\|-6	$y = \| x \| - 6$
22960	Find the Axis of Symmetry	y=-3x^2+6x+17	$y = - 3 x^{2} + 6 x + 17$
22961	Solve by Substitution	x^2+y^2=49 , y^2-6x=49	$x^{2} + y^{2} = 49$ , $y^{2} - 6 x = 49$
22962	Find the Axis of Symmetry	y=3x^2+7x+4	$y = 3 x^{2} + 7 x + 4$
22963	Solve by Substitution	-4x-2y=-12 , 4x+8y=-24	$- 4 x - 2 y = - 12$ , $4 x + 8 y = - 24$
22964	Find the Axis of Symmetry	y=x^2-16x+63	$y = x^{2} - 16 x + 63$
22965	Find the Axis of Symmetry	y=4x^2-16x+2	$y = 4 x^{2} - 16 x + 2$
22966	Find the Axis of Symmetry	y=-4x^2+8x-9	$y = - 4 x^{2} + 8 x - 9$
22967	Find the Domain and Range	2^(x-2)	$2^{x - 2}$
22968	Find the Axis of Symmetry	y=4x^2+16x-2	$y = 4 x^{2} + 16 x - 2$
22969	Simplify	fourth root of x^4y^2z^2	$\sqrt[4]{x^{4} y^{2} z^{2}}$
22970	Find the Axis of Symmetry	y=4-8x-5x^2	$y = 4 - 8 x - 5 x^{2}$
22971	Find the Domain	f(x) = natural log of x	$f (x) = \ln (x)$
22972	Find the Axis of Symmetry	y=9x^2-12x+4	$y = 9 x^{2} - 12 x + 4$
22973	Find the Domain and Range	log base 2 of x+3	$\log_{2} (x + 3)$
22974	Find the Axis of Symmetry	y=-5x^2+10x-11	$y = - 5 x^{2} + 10 x - 11$
22975	Find the Axis of Symmetry	y=5x^2+10x-5	$y = 5 x^{2} + 10 x - 5$
22976	Find the Inverse	f(x)=(x-2)^3	$f (x) = {(x - 2)}^{3}$
22977	Find the Inverse	f(x)=1/(x+2)	$f (x) = \frac{1}{x + 2}$
22978	Find the Inverse	f(x)=(3x-2)/(x+5)	$f (x) = \frac{3 x - 2}{x + 5}$
22979	Simplify	(4m^4n^3p^3)/(3m^2n^2p^4)	$\frac{4 m^{4} n^{3} p^{3}}{3 m^{2} n^{2} p^{4}}$
22980	Find the Inverse	f(x)=5x-9	$f (x) = 5 x - 9$
22981	Find the Inverse	f(x)=5x-5	$f (x) = 5 x - 5$
22982	Find the x and y Intercepts	(x+1)/(x^2-4)	$\frac{x + 1}{x^{2} - 4}$
22983	Find the Inverse	f(x)=2x+9	$f (x) = 2 x + 9$
22984	Find the Inverse	f(x)=-2x+7	$f (x) = - 2 x + 7$
22985	Find the x and y Intercepts	(x^2-9)/(x^2+6x+8)	$\frac{x^{2} - 9}{x^{2} + 6 x + 8}$
22986	Write in Exponential Form	log base x of 64=3	$\log_{x} (64) = 3$
22987	Write in Exponential Form	log base 4 of x=2	$\log_{4} (x) = 2$
22988	Find the x and y Intercepts	x/(x^2-169)	$\frac{x}{x^{2} - 169}$
22989	Find the x and y Intercepts	(x^2)/(x^2-x-20)	$\frac{x^{2}}{x^{2} - x - 20}$
22990	Expand the Logarithmic Expression	natural log of 3x	$\ln (3 x)$
22991	Expand the Logarithmic Expression	log of (2^4)/5	$\log (\frac{2^{4}}{5})$
22992	Expand the Logarithmic Expression	natural log of 15 root of x	$\ln (\sqrt[15]{x})$
22993	Evaluate	e^( natural log of 7)	$e^{\ln (7)}$
22994	Evaluate	log base 2 of (2)^3	$\log_{2} ({(2)}^{3})$
22995	Find the x and y Intercepts	-2(x-3)^2+8	$- 2 {(x - 3)}^{2} + 8$
22996	Convert to Logarithmic Form	e^x=5	$e^{x} = 5$
22997	Find the x and y Intercepts	(3x^2-5x-2)/(x+2)	$\frac{3 x^{2} - 5 x - 2}{x + 2}$
22998	Convert to Logarithmic Form	7^-2=1/49	$7^{- 2} = \frac{1}{49}$
22999	Write in Exponential Form	log base 5 of x=2	$\log_{5} (x) = 2$
23000	Find the x and y Intercepts	0.1(x-3)^2(x+3)^3	$0.1 {(x - 3)}^{2} {(x + 3)}^{3}$