Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
143101	Solve Using the Quadratic Formula	5x^2-8x+5=0	$5 x^{2} - 8 x + 5 = 0$
143102	Find the Vertex Form	y=x^2-6x+8	$y = x^{2} - 6 x + 8$
143103	Convert to Interval Notation	x>=8	$x \geq 8$
143104	Solve for c	5/4=-4c+1/4	$\frac{5}{4} = - 4 c + \frac{1}{4}$
143105	Solve for p	p/(2p+1)-(2p^2+5)/(2p^2-7p-4)=-5/(p-4)	$\frac{p}{2 p + 1} - \frac{2 p^{2} + 5}{2 p^{2} - 7 p - 4} = - \frac{5}{p - 4}$
143106	Solve for n	12/5=n/8	$\frac{12}{5} = \frac{n}{8}$
143107	Solve for n	(2n)/3+1/2=(2n-3)/6	$\frac{2 n}{3} + \frac{1}{2} = \frac{2 n - 3}{6}$
143108	Solve for c	square root of (50x^6y^3)/(9x^8)=(5y^c square root of 2y)/(dx)	$\sqrt{\frac{50 x^{6} y^{3}}{9 x^{8}}} = \frac{5 y^{c} \sqrt{2 y}}{d x}$
143109	Solve for w	square root of 2w+9+ square root of 4-3w=0	$\sqrt{2 w + 9} + \sqrt{4 - 3 w} = 0$
143110	Determine if Rational	3.14	$3.14$
143111	Determine if Rational	3/4	$\frac{3}{4}$
143112	Find the Vertex Form	y=x^2+8x+7	$y = x^{2} + 8 x + 7$
143113	Find All Complex Solutions	9x^2-6x+1=0	$9 x^{2} - 6 x + 1 = 0$
143114	Find All Complex Solutions	x^2-16=0	$x^{2} - 16 = 0$
143115	Solve for t	h=-16t^2+64t	$h = - 16 t^{2} + 64 t$
143116	Solve for t	4/3=t/7	$\frac{4}{3} = \frac{t}{7}$
143117	Solve for r	k=4r-s	$k = 4 r - s$
143118	Solve for m	-5 = square root of m-7	$- 5 = \sqrt{m} - 7$
143119	Solve by Completing the Square	x^2-5x=12	$x^{2} - 5 x = 12$
143120	Solve for k	11/8=k/4	$\frac{11}{8} = \frac{k}{4}$
143121	Solve for c	(z^2-16z+64)/(40-5z)*c/(z^2-10z+16)=1	$\frac{z^{2} - 16 z + 64}{40 - 5 z} \cdot \frac{c}{z^{2} - 10 z + 16} = 1$
143122	Solve for t	at^2+uy=h	$a t^{2} + u y = h$
143123	Solve for k	k/6=4/3	$\frac{k}{6} = \frac{4}{3}$
143124	Solve for r	K=7r-s	$K = 7 r - s$
143125	Solve for n	11/n=8/5	$\frac{11}{n} = \frac{8}{5}$
143126	Solve for n	8n^2+4n-16=-n^2	$8 n^{2} + 4 n - 16 = - n^{2}$
143127	Solve for n	8n^2+7n-15=-7	$8 n^{2} + 7 n - 15 = - 7$
143128	Solve Using the Quadratic Formula	2y^2-3y=2	$2 y^{2} - 3 y = 2$
143129	Solve Using the Quadratic Formula	x^4-13x^2+36=0	$x^{4} - 13 x^{2} + 36 = 0$
143130	Solve for p	12/11=p/12	$\frac{12}{11} = \frac{p}{12}$
143131	Solve for n	log base 3 of n=2	$\log_{3} (n) = 2$
143132	Solve for k	5/3k^2-k-6/5=0	$\frac{5}{3} k^{2} - k - \frac{6}{5} = 0$
143133	Solve for c	x^2+18x+c	$x^{2} + 18 x + c$
143134	Solve for c	c=5/9(77-32)	$c = \frac{5}{9} (77 - 32)$
143135	Solve for c	2abc+d=3	$2 a b c + d = 3$
143136	Solve for b	((5z^2)/(z^2+5z))÷(b/(z^2-2z-35))=1	$\frac{5 z^{2}}{z^{2} + 5 z} \div \frac{b}{z^{2} - 2 z - 35} = 1$
143137	Solve for z	33=8^(5z+4)	$33 = 8^{5 z + 4}$
143138	Solve for z	z+2 = square root of 2z^2+3z+7-3	$z + 2 = \sqrt{2 z^{2} + 3 z + 7} - 3$
143139	Solve for z	square root of z^2+6z+3=3z+1	$\sqrt{z^{2} + 6 z + 3} = 3 z + 1$
143140	Find the Roots (Zeros)	f(x)=x^2+5x-14	$f (x) = x^{2} + 5 x - 14$
143141	Find the Vertex Form	y=5x^2-30x+49	$y = 5 x^{2} - 30 x + 49$
143142	Simplify	(4x+5)/x>3	$\frac{4 x + 5}{x} > 3$
143143	Write in y=mx+b Form	2X-Y=3	$2 X - Y = 3$
143144	Find All Complex Solutions	7x^2-2x+3=0	$7 x^{2} - 2 x + 3 = 0$
143145	Write in Standard Form	(x+3)(x+4)=0	$(x + 3) (x + 4) = 0$
143146	Solve for t	45-t^2=0	$45 - t^{2} = 0$
143147	Solve for c	x^2-2x+c	$x^{2} - 2 x + c$
143148	Solve for k	(5k-2)/(3k)=7	$\frac{5 k - 2}{3 k} = 7$
143149	Solve for m	m^2+4m+3=0	$m^{2} + 4 m + 3 = 0$
143150	Solve for n	8/3=12/n	$\frac{8}{3} = \frac{12}{n}$
143151	Find the Vertex Form	y=x^2+8x-6	$y = x^{2} + 8 x - 6$
143152	Write in y=mx+b Form	x+4y=8	$x + 4 y = 8$
143153	Solve for n	12/(n-1)=10/(n+3)	$\frac{12}{n - 1} = \frac{10}{n + 3}$
143154	Solve for r	k=5r-11s	$k = 5 r - 11 s$
143155	Solve for k	-6/(2k-6)=1/3	$- \frac{6}{2 k - 6} = \frac{1}{3}$
143156	Solve for k	4/3=11/k	$\frac{4}{3} = \frac{11}{k}$
143157	Solve for w	log base 8 of 48- log base 8 of w = log base 8 of 4	$\log_{8} (48) - \log_{8} (w) = \log_{8} (4)$
143158	Find the Roots (Zeros)	F(x)=x^2+x-20	$F (x) = x^{2} + x - 20$
143159	Determine if Rational	square root of 225	$\sqrt{225}$
143160	Find All Complex Solutions	125x^3+343=0	$125 x^{3} + 343 = 0$
143161	Find All Complex Solutions	x^2-10x+25=0	$x^{2} - 10 x + 25 = 0$
143162	Find the Roots (Zeros)	f(x)=x^2+x-12	$f (x) = x^{2} + x - 12$
143163	Solve Using the Quadratic Formula	-3x^2+6x=4	$- 3 x^{2} + 6 x = 4$
143164	Solve for m	-4(m+6)=-8	$- 4 (m + 6) = - 8$
143165	Solve for n	\|2n+5\|>1	$\| 2 n + 5 \| > 1$
143166	Solve for b	-3b-15>-24	$- 3 b - 15 > - 24$
143167	Find All Complex Solutions	x^2-2x-3=0	$x^{2} - 2 x - 3 = 0$
143168	Find the Roots (Zeros)	h(x)=x^2+3x-18	$h (x) = x^{2} + 3 x - 18$
143169	Find the Inverse	y=5x-2	$y = 5 x - 2$
143170	Solve for p	-(2p+1)/(5p+6)=1/7	$- \frac{2 p + 1}{5 p + 6} = \frac{1}{7}$
143171	Solve for k	2k^2-5k-18=0	$2 k^{2} - 5 k - 18 = 0$
143172	Solve for w	square root of 2w^2-19w+31+2=7-2w	$\sqrt{2 w^{2} - 19 w + 31} + 2 = 7 - 2 w$
143173	Solve for v	square root of 2v-5 = square root of v/3+5	$\sqrt{2 v - 5} = \sqrt{\frac{v}{3} + 5}$
143174	Solve for v	4/5v<7/15	$\frac{4}{5} v < \frac{7}{15}$
143175	Solve for t	3e^(4t)=60	$3 e^{4 t} = 60$
143176	Find the Asymptotes	F(x)=1/(x+1)	$F (x) = \frac{1}{x + 1}$
143177	Solve for w	6+3w = square root of 2w+12+2w	$6 + 3 w = \sqrt{2 w + 12} + 2 w$
143178	Solve for k	8/7=12/k	$\frac{8}{7} = \frac{12}{k}$
143179	Solve for m	10m=10-5(m-7)	$10 m = 10 - 5 (m - 7)$
143180	Solve for r	K=2r-S	$K = 2 r - S$
143181	Solve by Completing the Square	x^2+8x=4	$x^{2} + 8 x = 4$
143182	Solve by Completing the Square	x^2+10x+25=2	$x^{2} + 10 x + 25 = 2$
143183	Find the Roots (Zeros)	f(x)=x^2+6x+5	$f (x) = x^{2} + 6 x + 5$
143184	Find All Complex Solutions	5x^2-6x+2=0	$5 x^{2} - 6 x + 2 = 0$
143185	Rationalize the Denominator	3/( square root of 15)	$\frac{3}{\sqrt{15}}$
143186	Solve for c	c/8=9	$\frac{c}{8} = 9$
143187	Solve for r	k=3r-7s	$k = 3 r - 7 s$
143188	Solve for r	k=5r-s	$k = 5 r - s$
143189	Solve for r	(4r-6)/(r-7)=2	$\frac{4 r - 6}{r - 7} = 2$
143190	Solve for p	8/9=12/p	$\frac{8}{9} = \frac{12}{p}$
143191	Solve for k	5/6k^2-k-12/5=0	$\frac{5}{6} k^{2} - k - \frac{12}{5} = 0$
143192	Find the Roots (Zeros)	f(x)=4x^2-3x-7	$f (x) = 4 x^{2} - 3 x - 7$
143193	Determine if Rational	square root of 54	$\sqrt{54}$
143194	Write in Standard Form	(-8+ square root of -20)/24	$\frac{- 8 + \sqrt{- 20}}{24}$
143195	Convert to Logarithmic Form	7^x=21	$7^{x} = 21$
143196	Find the Axis of Symmetry	y=2x^2-12x+6	$y = 2 x^{2} - 12 x + 6$
143197	Convert to Radical Form	(8x^7y^4)^(2/3)	${(8 x^{7} y^{4})}^{\frac{2}{3}}$
143198	Convert to Radical Form	(12)^(5/2)	${(12)}^{\frac{5}{2}}$
143199	Solve for t	d=1/2at^2	$d = \frac{1}{2} a t^{2}$
143200	Solve for t	e^(-0.07t)=8	$e^{- 0.07 t} = 8$