Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
14301	Graph	y=x^2-4x-5	$y = x^{2} - 4 x - 5$
14302	Find the Roots (Zeros)	x^5-4x^4+4x^3+2x^2-5x+2=0	$x^{5} - 4 x^{4} + 4 x^{3} + 2 x^{2} - 5 x + 2 = 0$
14303	Find the Roots (Zeros)	5=x+ square root of x+1	$5 = x + \sqrt{x + 1}$
14304	Find the Roots (Zeros)	y=x^3-2x^2+25x-50	$y = x^{3} - 2 x^{2} + 25 x - 50$
14305	Find the Axis of Symmetry	y=-4x^2-16x-9	$y = - 4 x^{2} - 16 x - 9$
14306	Solve for x	18=3(3x-6)	$18 = 3 (3 x - 6)$
14307	Find the Axis of Symmetry	y=5x^2-4x+6	$y = 5 x^{2} - 4 x + 6$
14308	Solve for x	6^x=1/216	$6^{x} = \frac{1}{216}$
14309	Find the x and y Intercepts	x^2+4x-21	$x^{2} + 4 x - 21$
14310	Solve for x	5^x=2	$5^{x} = 2$
14311	Convert to a Mixed Number	29/9	$\frac{29}{9}$
14312	Solve for x	3^(4x)=27	$3^{4 x} = 27$
14313	Convert to Scientific Notation	0.00008	$0.00008$
14314	Convert to Scientific Notation	0.000006	$0.000006$
14315	Solve for x	log base 9 of x+ log base 9 of 8x-1=1	$\log_{9} (x) + \log_{9} (8 x - 1) = 1$
14316	Solve for x	log base 8 of x+ log base 8 of 7x-1=1	$\log_{8} (x) + \log_{8} (7 x - 1) = 1$
14317	Find the x and y Intercepts	f(x)=4x^2-6x-2	$f (x) = 4 x^{2} - 6 x - 2$
14318	Find the x and y Intercepts	f(x)=-3x^3+24x^2-45x	$f (x) = - 3 x^{3} + 24 x^{2} - 45 x$
14319	Solve for x	log base 3 of 1/27=x	$\log_{3} (\frac{1}{27}) = x$
14320	Find the x and y Intercepts	f(x)=3^x-7	$f (x) = 3^{x} - 7$
14321	Solve for x	log base 2 of x=-1	$\log_{2} (x) = - 1$
14322	Find the x and y Intercepts	f(x)=2x^2-8x+6	$f (x) = 2 x^{2} - 8 x + 6$
14323	Solve for g	5g+4(-5+3g)=1-g	$5 g + 4 (- 5 + 3 g) = 1 - g$
14324	Write in Standard Form	x^2+y^2-8x+14y+61=0	$x^{2} + y^{2} - 8 x + 14 y + 61 = 0$
14325	Solve for x	2^x=256	$2^{x} = 256$
14326	Write in Standard Form	y=6(x-2)^2-8	$y = 6 {(x - 2)}^{2} - 8$
14327	Solve for x	2^(x+1)=5^(1-2x)	$2^{x + 1} = 5^{1 - 2 x}$
14328	Find the Domain and Range	f(x)=-3^x-1	$f (x) = - 3^{x} - 1$
14329	Solve for x	16^(3x-3)=64^(x+2)	$16^{3 x - 3} = 64^{x + 2}$
14330	Find the Domain and Range	f(x)=-2x^2+8x-5	$f (x) = - 2 x^{2} + 8 x - 5$
14331	Find the Domain and Range	f(x)=cos(x)	$f (x) = \cos (x)$
14332	Solve for x	\|3x+5\|=1	$\| 3 x + 5 \| = 1$
14333	Find the Domain and Range	f(x)=(3x-6)/x+4.5	$f (x) = \frac{3 x - 6}{x} + 4.5$
14334	Solve for x	\|2x-1\|=2	$\| 2 x - 1 \| = 2$
14335	Solve for v	d=m/v	$d = \frac{m}{v}$
14336	Solve for s	q=r+rst	$q = r + r s t$
14337	Solve for t	A=p(1+rt)	$A = p (1 + r t)$
14338	Solve for y	2y+3=3(y+7)	$2 y + 3 = 3 (y + 7)$
14339	Convert to Interval Notation	(2x-7)/(x-2)>1	$\frac{2 x - 7}{x - 2} > 1$
14340	Simplify	( fourth root of 6)/( cube root of 2)	$\frac{\sqrt[4]{6}}{\sqrt[3]{2}}$
14341	Convert to Interval Notation	x/(x-11)<0	$\frac{x}{x - 11} < 0$
14342	Solve for x	3^(2x)=9^(3x-4)	$3^{2 x} = 9^{3 x - 4}$
14343	Solve for y	c=kny	$c = k n y$
14344	Convert to Interval Notation	(x+8)/(x-1)>=-2	$\frac{x + 8}{x - 1} \geq - 2$
14345	Solve for x	log of x=6	$\log (x) = 6$
14346	Convert to Interval Notation	x/(x-4)<0	$\frac{x}{x - 4} < 0$
14347	Convert to Interval Notation	x^2+3x<70	$x^{2} + 3 x < 70$
14348	Convert to Interval Notation	\|8-4x\|<=1	$\| 8 - 4 x \| \leq 1$
14349	Solve for x	x-3y=-3	$x - 3 y = - 3$
14350	Convert to Interval Notation	1/(x+1)>2/(x-1)	$\frac{1}{x + 1} > \frac{2}{x - 1}$
14351	Solve for x	3x=15	$3 x = 15$
14352	Solve for x	3x-y=0	$3 x - y = 0$
14353	Reduce	(n^2-7n-44)/(n^2-121)	$\frac{n^{2} - 7 n - 44}{n^{2} - 121}$
14354	Determine if Rational	-13/12	$- \frac{13}{12}$
14355	Solve for x	2x=5	$2 x = 5$
14356	Find the Asymptotes	g(x)=(x^2+5x-14)/(x^2+4x-21)	$g (x) = \frac{x^{2} + 5 x - 14}{x^{2} + 4 x - 21}$
14357	Solve for x	-7x-3x+2=-8x-8	$- 7 x - 3 x + 2 = - 8 x - 8$
14358	Find the Maximum/Minimum Value	y=3(x+1/3)^2+2/3	$y = 3 {(x + \frac{1}{3})}^{2} + \frac{2}{3}$
14359	Solve for x	7x-7=12x+13	$7 x - 7 = 12 x + 13$
14360	Solve for x	natural log of x=9	$\ln (x) = 9$
14361	Solve for x	natural log of 2+ natural log of x=5	$\ln (2) + \ln (x) = 5$
14362	Find the Vertex	y=x^2-8x-6	$y = x^{2} - 8 x - 6$
14363	Solve for x	5x-(2x-10)=35	$5 x - (2 x - 10) = 35$
14364	Find the Vertex	x^2+4x+2y=0	$x^{2} + 4 x + 2 y = 0$
14365	Simplify	(6x+5)(6x-5)	$(6 x + 5) (6 x - 5)$
14366	Simplify	(a-5)(a+5)	$(a - 5) (a + 5)$
14367	Find the Vertex	y=-4x^2-16x-7	$y = - 4 x^{2} - 16 x - 7$
14368	Simplify	(x-6)(x+2)	$(x - 6) (x + 2)$
14369	Find the Vertex	y=x^2+12x+21	$y = x^{2} + 12 x + 21$
14370	Simplify	(x-3)(x-7)	$(x - 3) (x - 7)$
14371	Find the Equation of the Parabola	(0,1) , (2,5) , (3,7)	$(0, 1)$ , $(2, 5)$ , $(3, 7)$
14372	Simplify	(x-3i)(x+3i)	$(x - 3 i) (x + 3 i)$
14373	Find the Slope and y-intercept	y=8x-9	$y = 8 x - 9$
14374	Simplify	(x^(1/2)y^(-2/3))^-6	${(x^{\frac{1}{2}} y^{- \frac{2}{3}})}^{- 6}$
14375	Find the Slope and y-intercept	2x+4y=6	$2 x + 4 y = 6$
14376	Simplify	(x^-3)^(2/5)	${(x^{- 3})}^{\frac{2}{5}}$
14377	Find the Slope and y-intercept	8x+4y=12	$8 x + 4 y = 12$
14378	Find the Slope and y-intercept	5y+4x=5	$5 y + 4 x = 5$
14379	Solve for x	x^2-9x=0	$x^{2} - 9 x = 0$
14380	Find the Center and Radius	x^2+y^2-2x-10y+17=0	$x^{2} + y^{2} - 2 x - 10 y + 17 = 0$
14381	Solve for x	x^2+4x=0	$x^{2} + 4 x = 0$
14382	Find the Center and Radius	(x-3)^2+(y+2)^2=4	${(x - 3)}^{2} + {(y + 2)}^{2} = 4$
14383	Solve for x	x^(2/3)-x^(1/3)-6=0	$x^{\frac{2}{3}} - x^{\frac{1}{3}} - 6 = 0$
14384	Simplify/Condense	log base 3 of 4+2 log base 3 of 1/2+ log base 3 of x	$\log_{3} (4) + 2 \log_{3} (\frac{1}{2}) + \log_{3} (x)$
14385	Graph	x=y^2-4	$x = y^{2} - 4$
14386	Simplify	(2-3i)(2+3i)	$(2 - 3 i) (2 + 3 i)$
14387	Find the Domain and Range	y=- square root of x-4-2	$y = - \sqrt{x - 4} - 2$
14388	Simplify	(2x+3)(x-5)	$(2 x + 3) (x - 5)$
14389	Find the Equation Using Point-Slope Formula	(-6,5) , (-3,-3)	$(- 6, 5) (- 3, - 3)$
14390	Simplify	(6-2i)(6+2i)	$(6 - 2 i) (6 + 2 i)$
14391	Convert to an Improper Fraction	2 3/8	$2 \frac{3}{8}$
14392	Simplify	(5x+1)(5x-1)	$(5 x + 1) (5 x - 1)$
14393	Convert to an Improper Fraction	6 1/3	$6 \frac{1}{3}$
14394	Simplify	(4+2i)(4-2i)	$(4 + 2 i) (4 - 2 i)$
14395	Find the GCF	3x^4+18x	$3 x^{4} + 18 x$
14396	Simplify	(4x-1)(4x+1)	$(4 x - 1) (4 x + 1)$
14397	Find the GCF	36x^5y^3+27x^4y	$36 x^{5} y^{3} + 27 x^{4} y$
14398	Simplify	(4r^3+3r^4)-(r^4-5r^3)	$(4 r^{3} + 3 r^{4}) - (r^{4} - 5 r^{3})$
14399	Find Where Undefined/Discontinuous	(3z^6+21z^4)/(z^4+11z^2+28)	$\frac{3 z^{6} + 21 z^{4}}{z^{4} + 11 z^{2} + 28}$
14400	Simplify	(2x+9)(2x-9)	$(2 x + 9) (2 x - 9)$