Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
14201	Simplify	(5 square root of 2-4 square root of 3)(5 square root of 2-4 square root of 3)	$(5 \sqrt{2} - 4 \sqrt{3}) (5 \sqrt{2} - 4 \sqrt{3})$
14202	Find the Center and Radius	(x+2)^2+(y-5)^2=4	${(x + 2)}^{2} + {(y - 5)}^{2} = 4$
14203	Simplify	(5x)^0	${(5 x)}^{0}$
14204	Find the Center and Radius	x^2+y^2-4x-8y+20=0	$x^{2} + y^{2} - 4 x - 8 y + 20 = 0$
14205	Simplify	2 square root of 75	$2 \sqrt{75}$
14206	Graph	y=-4x+6	$y = - 4 x + 6$
14207	Find the Inverse	y = log of x	$y = \log (x)$
14208	Graph	y=5x-6	$y = 5 x - 6$
14209	Factor by Grouping	-8x^3-2x^2-12x-3	$- 8 x^{3} - 2 x^{2} - 12 x - 3$
14210	Graph	y=5-x	$y = 5 - x$
14211	Factor by Grouping	6m^2+9mn-8m-12n	$6 m^{2} + 9 m n - 8 m - 12 n$
14212	Graph	y=6x+4	$y = 6 x + 4$
14213	Factor by Grouping	4ac+2ad+2bc+bd	$4 a c + 2 a d + 2 b c + b d$
14214	Graph	y=6/5x+1	$y = \frac{6}{5} x + 1$
14215	Factor by Grouping	2x^3+12x^2+8x+48	$2 x^{3} + 12 x^{2} + 8 x + 48$
14216	Graph	y=7^(-x)	$y = 7^{- x}$
14217	Convert to Radical Form	t^(1/6)	$t^{\frac{1}{6}}$
14218	Convert to Radical Form	1/(x^(-3/6))	$\frac{1}{x^{\frac{- 3}{6}}}$
14219	Graph	y=-1/5x	$y = - \frac{1}{5} x$
14220	Convert to Radical Form	(xy^2)^(1/3)	${(x y^{2})}^{\frac{1}{3}}$
14221	Divide Using Long Polynomial Division	(y^3-4y^2+7y-6)÷(y-2)	$(y^{3} - 4 y^{2} + 7 y - 6) \div (y - 2)$
14222	Graph	y=1/(x-1)	$y = \frac{1}{x - 1}$
14223	Find the Degree	2x^2y-4x^5y^7+14xy+3	$2 x^{2} y - 4 x^{5} y^{7} + 14 x y + 3$
14224	Graph	y=- log base 5 of -x	$y = - \log_{5} (- x)$
14225	Find the Degree	3x^2y^3z^4-18a^5f^3	$3 x^{2} y^{3} z^{4} - 18 a^{5} f^{3}$
14226	Graph	y = log base 5 of x-1	$y = \log_{5} (x - 1)$
14227	Graph	y = log base 2 of x+1	$y = \log_{2} (x + 1)$
14228	Graph	y = log base 2 of 1-x	$y = \log_{2} (1 - x)$
14229	Find the Vertex	h(t)=t^2+4t+3	$h (t) = t^{2} + 4 t + 3$
14230	Graph	y = log base 3 of x+2	$y = \log_{3} (x + 2)$
14231	Graph	y=-x^2+2x-8	$y = - x^{2} + 2 x - 8$
14232	Find the Vertex	f(x)=-3x^2-11x-5	$f (x) = - 3 x^{2} - 11 x - 5$
14233	Graph	y=-x^2+4x-3	$y = - x^{2} + 4 x - 3$
14234	Find the Vertex	f(x)=3x^2+4x-2	$f (x) = 3 x^{2} + 4 x - 2$
14235	Divide Using Synthetic Division	(2x^3-2x^2-10x-6)/(x-3)	$\frac{2 x^{3} - 2 x^{2} - 10 x - 6}{x - 3}$
14236	Graph	x-7y<=0	$x - 7 y \leq 0$
14237	Divide Using Synthetic Division	(5x^3+19x^2+6x-18)÷(x+3)	$(5 x^{3} + 19 x^{2} + 6 x - 18) \div (x + 3)$
14238	Find the Maximum/Minimum Value	h(t)=116t-16t^2	$h (t) = 116 t - 16 t^{2}$
14239	Find the Maximum/Minimum Value	h(x)=-5x^2+20x+60	$h (x) = - 5 x^{2} + 20 x + 60$
14240	Find the Vertex Form	y=x^2-2x-5	$y = x^{2} - 2 x - 5$
14241	Find a,b,c	(5+x)(5-x)=7	$(5 + x) (5 - x) = 7$
14242	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^4+3x^3-x^2+8	$f (x) = x^{4} + 3 x^{3} - x^{2} + 8$
14243	Factor	1-4y^2	$1 - 4 y^{2}$
14244	Find the Domain	f(x) = square root of x-12	$f (x) = \sqrt{x - 12}$
14245	Subtract	(2g)/(g^2-g-6)-1/(g-3)	$\frac{2 g}{g^{2} - g - 6} - \frac{1}{g - 3}$
14246	Find the Domain	f(x) = natural log of x^2+x-6	$f (x) = \ln (x^{2} + x - 6)$
14247	Evaluate the Function	f(-2)=3x^3+5	$f (- 2) = 3 x^{3} + 5$
14248	Evaluate the Function	f(1)=(1/2)^x	$f (1) = {(\frac{1}{2})}^{x}$
14249	Find the Slope	y=-2x+1	$y = - 2 x + 1$
14250	Find the Slope	3x-4y=8	$3 x - 4 y = 8$
14251	Solve Using the Square Root Property	x^2=256	$x^{2} = 256$
14252	Solve by Factoring	21x^2-6=15x	$21 x^{2} - 6 = 15 x$
14253	Solve Using the Square Root Property	x^2=245	$x^{2} = 245$
14254	Solve by Factoring	0=x^2-4x-60	$0 = x^{2} - 4 x - 60$
14255	Solve Using the Square Root Property	x^2+64=0	$x^{2} + 64 = 0$
14256	Convert to a Simplified Fraction	82.5%	$82.5 %$
14257	Solve Using the Square Root Property	x^2-11=0	$x^{2} - 11 = 0$
14258	Solve Using the Square Root Property	x^2-14=0	$x^{2} - 14 = 0$
14259	Combine	-5j+(-2j)+3	$- 5 j + (- 2 j) + 3$
14260	Solve Using the Square Root Property	(x-8)^2=4	${(x - 8)}^{2} = 4$
14261	Convert to Regular Notation	1.21*10^4	$1.21 \cdot 10^{4}$
14262	Solve Using the Square Root Property	(x-4)^2=4	${(x - 4)}^{2} = 4$
14263	Convert to Regular Notation	9.11*10^-31	$9.11 \cdot 10^{- 31}$
14264	Solve Using the Square Root Property	(r-6)^2=-5	${(r - 6)}^{2} = - 5$
14265	Find the Foci	81x^2+9y^2=729	$81 x^{2} + 9 y^{2} = 729$
14266	Find the Foci	(x^2)/144+(y^2)/100=1	$\frac{x^{2}}{144} + \frac{y^{2}}{100} = 1$
14267	Solve Using the Square Root Property	(x+1)^2=4	${(x + 1)}^{2} = 4$
14268	Find the Foci	((x-3)^2)/9+((y-6)^2)/16=1	$\frac{{(x - 3)}^{2}}{9} + \frac{{(y - 6)}^{2}}{16} = 1$
14269	Graph	f(x)=1/2x+1	$f (x) = \frac{1}{2} x + 1$
14270	Find Where Undefined/Discontinuous	y=(x+5)/(x^2+9x+20)	$y = \frac{x + 5}{x^{2} + 9 x + 20}$
14271	Graph	5x-y<5	$5 x - y < 5$
14272	Find the Slope and y-intercept	y=7x-9	$y = 7 x - 9$
14273	Graph	3x+y=0	$3 x + y = 0$
14274	Solve Using the Quadratic Formula	4x^2-3x+9=2x+1	$4 x^{2} - 3 x + 9 = 2 x + 1$
14275	Graph	2x+3y<6	$2 x + 3 y < 6$
14276	Write as a Function of y	x^2+y=81	$x^{2} + y = 81$
14277	Write as a Function of x	x^2+y=81	$x^{2} + y = 81$
14278	Find the LCD	x/(x+1) , (7x)/(x-1)	$\frac{x}{x + 1}$ , $\frac{7 x}{x - 1}$
14279	Graph	g(x)=x^2+4	$g (x) = x^{2} + 4$
14280	Find the LCD	14/(x^2y) , 7/(xy^2)	$\frac{14}{x^{2} y}$ , $\frac{7}{x y^{2}}$
14281	Solve by Completing the Square	x^2-12x+22=0	$x^{2} - 12 x + 22 = 0$
14282	Graph	x^2=-12y	$x^{2} = - 12 y$
14283	Solve by Completing the Square	x^2-x=7/4	$x^{2} - x = \frac{7}{4}$
14284	Graph	x^2=-8y	$x^{2} = - 8 y$
14285	Solve by Completing the Square	x^2-16x+50=21	$x^{2} - 16 x + 50 = 21$
14286	Graph	y^2=-12x	$y^{2} = - 12 x$
14287	Convert to Logarithmic Form	16=8^(4/3)	$16 = 8^{\frac{4}{3}}$
14288	Subtract	7/(x+6)-(6x)/(x^2-36)	$\frac{7}{x + 6} - \frac{6 x}{x^{2} - 36}$
14289	Convert to Logarithmic Form	1/1000=10^-3	$\frac{1}{1000} = 10^{- 3}$
14290	Convert to Logarithmic Form	e^(3x)=y+4	$e^{3 x} = y + 4$
14291	Convert to Logarithmic Form	5*7^(2y)=175	$5 \cdot 7^{2 y} = 175$
14292	Determine if True	cube root of 8=2	$\sqrt[3]{8} = 2$
14293	Solve the System of @WORD	y=x^2-25 , x-y=-5	$y = x^{2} - 25$ , $x - y = - 5$
14294	Convert to Radical Form	xy^(2/9)	$x y^{\frac{2}{9}}$
14295	Find Three Ordered Pair Solutions	y+1=3(x-4)	$y + 1 = 3 (x - 4)$
14296	Solve for y	-8/(2y-8)=5/(y+4)-(7y+8)/(y^2-16)	$\frac{- 8}{2 y - 8} = \frac{5}{y + 4} - \frac{7 y + 8}{y^{2} - 16}$
14297	Find the Inverse	9/5x+32	$\frac{9}{5} x + 32$
14298	Simplify	cube root of -64x^5	$\sqrt[3]{- 64 x^{5}}$
14299	Graph	x>=7	$x \geq 7$
14300	Find the Roots (Zeros)	x^4+5x^3+7x^2-3x-10=0	$x^{4} + 5 x^{3} + 7 x^{2} - 3 x - 10 = 0$