Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9301	Rationalize the Denominator	4/(9- square root of 7)	$\frac{4}{9 - \sqrt{7}}$
9302	Solve Using the Quadratic Formula	15/x-(11x+5)/(x^2)=-1	$\frac{15}{x} - \frac{11 x + 5}{x^{2}} = - 1$
9303	Graph	f(x)=(x^2-4)/(x-2)	$f (x) = \frac{x^{2} - 4}{x - 2}$
9304	Find the Discriminant	4x^2+2x+6	$4 x^{2} + 2 x + 6$
9305	Graph	3x-y=4	$3 x - y = 4$
9306	Convert to Interval Notation	x^2+3x<28	$x^{2} + 3 x < 28$
9307	Graph	4x-y=4	$4 x - y = 4$
9308	Graph	5x+4y>20	$5 x + 4 y > 20$
9309	Find the Focus	-4x+9y^2=0	$- 4 x + 9 y^{2} = 0$
9310	Graph	5y-6x>30	$5 y - 6 x > 30$
9311	Find the Focus	x=1/28y^2	$x = \frac{1}{28} y^{2}$
9312	Graph	2x-3	$2 x - 3$
9313	Find the Directrix	y+7=(x-4)^2	$y + 7 = {(x - 4)}^{2}$
9314	Graph	x^2-9=0	$x^{2} - 9 = 0$
9315	Find the Perfect Square Trinomial	x^2-3x+n	$x^{2} - 3 x + n$
9316	Simplify	5÷( square root of 5)	$5 \div \sqrt{5}$
9317	Graph	x^2-4x-5	$x^{2} - 4 x - 5$
9318	Convert to Radical Form	z^(1/6)	$z^{\frac{1}{6}}$
9319	Find the Domain and Range	square root of x-2	$\sqrt{x - 2}$
9320	Subtract	6/(x-1)-(5x)/4	$\frac{6}{x - 1} - \frac{5 x}{4}$
9321	Divide Using Synthetic Division	(x^4-10x^3+31x^2-13x-60)÷(x-4)	$(x^{4} - 10 x^{3} + 31 x^{2} - 13 x - 60) \div (x - 4)$
9322	Graph	y<=-x+2	$y \leq - x + 2$
9323	Convert to Interval Notation	x^2+11x<-18	$x^{2} + 11 x < - 18$
9324	Convert to Interval Notation	x^2+6x<0	$x^{2} + 6 x < 0$
9325	Find the Domain and Range	y=x^2+2	$y = x^{2} + 2$
9326	Find the GCF	26x^2+34x^4	$26 x^{2} + 34 x^{4}$
9327	Simplify	( square root of -50)( square root of -2)	$(\sqrt{- 50}) (\sqrt{- 2})$
9328	Solve for x	64^(2x)=16^(x+1)	$64^{2 x} = 16^{x + 1}$
9329	Solve by Completing the Square	x^2+14x=15	$x^{2} + 14 x = 15$
9330	Solve for x	5^x=17	$5^{x} = 17$
9331	Write as a Single Logarithm	1/3( log of x- log of y)	$\frac{1}{3} (\log (x) - \log (y))$
9332	Solve for x	3^(-x)=81	$3^{- x} = 81$
9333	Find the Slope	3x+5y=-7	$3 x + 5 y = - 7$
9334	Solve for x	4^(x+4)=5^(2x+5)	$4^{x + 4} = 5^{2 x + 5}$
9335	Find the Vertex Form	y=x^2+12x+27	$y = x^{2} + 12 x + 27$
9336	Solve for x	36^x*6^(x^2)=1296^2	$36^{x} \cdot 6^{x^{2}} = 1296^{2}$
9337	Solve for x	log base x of 1/125=-3	$\log_{x} (\frac{1}{125}) = - 3$
9338	Find the x and y Intercepts	f(x)=-4x^2+12x-9	$f (x) = - 4 x^{2} + 12 x - 9$
9339	Solve for x	log base 7 of x=-2	$\log_{7} (x) = - 2$
9340	Find the x and y Intercepts	f(x)=x^2+5x-36	$f (x) = x^{2} + 5 x - 36$
9341	Solve for x	e^(2x)-8e^x+7=0	$e^{2 x} - 8 e^{x} + 7 = 0$
9342	Solve for x	e^x=7	$e^{x} = 7$
9343	Subtract	225-144	$225 - 144$
9344	Solve for x	x+ square root of x=6	$x + \sqrt{x} = 6$
9345	Find the Focus	12x+y^2-14y+1=0	$12 x + y^{2} - 14 y + 1 = 0$
9346	Solve for x	x^2=45	$x^{2} = 45$
9347	Solve for x	x^2+81=0	$x^{2} + 81 = 0$
9348	Expand the Trigonometric Expression	2x^2(9x^2-16)	$2 x^{2} (9 x^{2} - 16)$
9349	Find the Vertex	y=-4(x-3)^2+5	$y = - 4 {(x - 3)}^{2} + 5$
9350	Solve for y	6x-3y=9	$6 x - 3 y = 9$
9351	Find the Inverse	g(x)=x^3+11	$g (x) = x^{3} + 11$
9352	Solve for y	y=1/2*(0)	$y = \frac{1}{2} \cdot (0)$
9353	Find the Inverse	y=e^(x+3)-4	$y = e^{x + 3} - 4$
9354	Solve for y	y=1/2x	$y = \frac{1}{2} x$
9355	Expand the Logarithmic Expression	log of 10x^3y	$\log (10 x^{3} y)$
9356	Find the Vertex Form	y=x^2-10x+30	$y = x^{2} - 10 x + 30$
9357	Solve for y	-1+y/8<15	$- 1 + \frac{y}{8} < 15$
9358	Convert to Logarithmic Form	8^1=8	$8^{1} = 8$
9359	Solve for x	log of 2x=-1	$\log (2 x) = - 1$
9360	Solve by Completing the Square	x^2+4x=27	$x^{2} + 4 x = 27$
9361	Solve for x	x+2y=3	$x + 2 y = 3$
9362	Convert to Interval Notation	x^2+2x>=15	$x^{2} + 2 x \geq 15$
9363	Solve for x	x-3y=3	$x - 3 y = 3$
9364	Convert to Interval Notation	x^2<=2x+4	$x^{2} \leq 2 x + 4$
9365	Solve for x	2x+3y=5	$2 x + 3 y = 5$
9366	Solve for x	cube root of x^5=32	$\sqrt[3]{x^{5}} = 32$
9367	Find the Quadratic Equation	3 , -11/4	$3$ , $- \frac{11}{4}$
9368	Solve for x	2x-3y=-6	$2 x - 3 y = - 6$
9369	Solve for x	3x=6	$3 x = 6$
9370	Write as a Single Logarithm	2 log of 4+3 log of 2	$2 \log (4) + 3 \log (2)$
9371	Write in Standard Form	-18-13i	$- 18 - 13 i$
9372	Find the Roots (Zeros)	12x=9+5x^2	$12 x = 9 + 5 x^{2}$
9373	Rationalize the Denominator	(3 square root of 160)/( square root of 1350x)	$\frac{3 \sqrt{160}}{\sqrt{1350 x}}$
9374	Rationalize the Denominator	(x^2-16)/( square root of x-2)	$\frac{x^{2} - 16}{\sqrt{x} - 2}$
9375	Simplify	(-6x-1)(4x^2)	$(- 6 x - 1) (4 x^{2})$
9376	Rationalize the Denominator	(2+ square root of 3)/(5- square root of 3)	$\frac{2 + \sqrt{3}}{5 - \sqrt{3}}$
9377	Simplify	(8+3i)(8-3i)	$(8 + 3 i) (8 - 3 i)$
9378	Simplify	(x-5)(x-4)	$(x - 5) (x - 4)$
9379	Solve Using the Quadratic Formula	1/7x^2+1/21x-1=0	$\frac{1}{7} x^{2} + \frac{1}{21} x - 1 = 0$
9380	Solve Using the Quadratic Formula	(x-4)^2=36	${(x - 4)}^{2} = 36$
9381	Find the Perfect Square Trinomial	x^2-11x+n	$x^{2} - 11 x + n$
9382	Convert to a Decimal	-82/5	$\frac{- 82}{5}$
9383	Simplify	(x^(2/3))^-3	${(x^{\frac{2}{3}})}^{- 3}$
9384	Simplify	(x^(-4/7))^7	${(x^{- \frac{4}{7}})}^{7}$
9385	Find the Directrix	y+7.5=2(x+2.5)^2	$y + 7.5 = 2 {(x + 2.5)}^{2}$
9386	Write in Standard Form	5x^2+8y^2=40	$5 x^{2} + 8 y^{2} = 40$
9387	Solve for x	x^2-3x-18=0	$x^{2} - 3 x - 18 = 0$
9388	Find the Domain and Range	f(x)=-3(x-5)^2+4	$f (x) = - 3 {(x - 5)}^{2} + 4$
9389	Solve for x	-4x<=28	$- 4 x \leq 28$
9390	Find Where Undefined/Discontinuous	y=(7x-2)/(x+5)	$y = \frac{7 x - 2}{x + 5}$
9391	Simplify	cube root of 16/27	$\sqrt[3]{\frac{16}{27}}$
9392	Solve by Completing the Square	2x^2-12x+6=0	$2 x^{2} - 12 x + 6 = 0$
9393	Solve for x	-25x^2+300x=0	$- 25 x^{2} + 300 x = 0$
9394	Find the LCD	5/(6x^7y^4) , 5/(3x^6y^3)	$\frac{5}{6 x^{7} y^{4}}$ , $\frac{5}{3 x^{6} y^{3}}$
9395	Find the Roots (Zeros)	x^3+6x^2-9x-54	$x^{3} + 6 x^{2} - 9 x - 54$
9396	Find the Vertex Form	3x^2+12x+11	$3 x^{2} + 12 x + 11$
9397	Simplify	(6n^2-6n-5)(7n^2+6n-5)	$(6 n^{2} - 6 n - 5) (7 n^{2} + 6 n - 5)$
9398	Simplify	(3x-1)(3x+1)	$(3 x - 1) (3 x + 1)$
9399	Find Where Undefined/Discontinuous	(6x-9)/(x-5)	$\frac{6 x - 9}{x - 5}$
9400	Simplify	(2x-1)(2x-1)	$(2 x - 1) (2 x - 1)$