Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10301	Find Amplitude, Period, and Phase Shift	y=3/2cos(t/2)	$y = \frac{3}{2} \cos (\frac{t}{2})$
10302	Solve Using the Quadratic Formula	r^2+3r-2=0	$r^{2} + 3 r - 2 = 0$
10303	Find the x and y Intercepts	y=-3 log base 2 of x+4+2	$y = - 3 \log_{2} (x + 4) + 2$
10304	Solve Using the Quadratic Formula	r^2+3r-5=0	$r^{2} + 3 r - 5 = 0$
10305	Find a,b,c	2x(x-3)=15	$2 x (x - 3) = 15$
10306	Solve Using the Quadratic Formula	k^2-31-2k=-6-3k^2-2k	$k^{2} - 31 - 2 k = - 6 - 3 k^{2} - 2 k$
10307	Find the Roots (Zeros)	x^2+4x-21	$x^{2} + 4 x - 21$
10308	Solve Using the Quadratic Formula	(x-1)(x+4)=14	$(x - 1) (x + 4) = 14$
10309	Multiply	(25-4x^2)/(6x^2+9x-15)*(6x^2-2x-4)/(2x^2-x-10)	$\frac{25 - 4 x^{2}}{6 x^{2} + 9 x - 15} \cdot \frac{6 x^{2} - 2 x - 4}{2 x^{2} - x - 10}$
10310	Solve Using the Quadratic Formula	(x-1)(x-2)=6	$(x - 1) (x - 2) = 6$
10311	Multiply	128*4	$128 \cdot 4$
10312	Find the x and y Intercepts	y=x^2+8x+16	$y = x^{2} + 8 x + 16$
10313	Multiply	(3x-4)(3x+1)	$(3 x - 4) (3 x + 1)$
10314	Find the x and y Intercepts	y = log base 2 of x	$y = \log_{2} (x)$
10315	Multiply	3*3.14	$3 \cdot 3.14$
10316	Solve Using the Quadratic Formula	2m^2-m-15=0	$2 m^{2} - m - 15 = 0$
10317	Multiply	(x^2-y^2)/(x-y)*(2xy)/(x^2+xy)	$\frac{x^{2} - y^{2}}{x - y} \cdot \frac{2 x y}{x^{2} + x y}$
10318	Solve Using the Quadratic Formula	2a^2-46a+252=0	$2 a^{2} - 46 a + 252 = 0$
10319	Multiply	75*5	$75 \cdot 5$
10320	Solve Using the Quadratic Formula	2x^2-5x=0	$2 x^{2} - 5 x = 0$
10321	Solve Using the Quadratic Formula	2x^2-5x-6=0	$2 x^{2} - 5 x - 6 = 0$
10322	Rationalize the Denominator	4/( square root of 10- square root of 6)	$\frac{4}{\sqrt{10} - \sqrt{6}}$
10323	Solve Using the Quadratic Formula	2x^2-7x+10=0	$2 x^{2} - 7 x + 10 = 0$
10324	Solve Using the Quadratic Formula	2x^2-22=0	$2 x^{2} - 22 = 0$
10325	Rationalize the Denominator	( square root of 5m)/( square root of 5n)	$\frac{\sqrt{5 m}}{\sqrt{5 n}}$
10326	Subtract	(4+4i)-(13+17i)	$(4 + 4 i) - (13 + 17 i)$
10327	Subtract	(b^3+5bc+10c^3)-(12b^3+6bc^2+c^3)	$(b^{3} + 5 b c + 10 c^{3}) - (12 b^{3} + 6 b c^{2} + c^{3})$
10328	Subtract	180-65	$180 - 65$
10329	Solve Using the Quadratic Formula	3x^2+8x-3=0	$3 x^{2} + 8 x - 3 = 0$
10330	Expand the Logarithmic Expression	log of cube root of (x^7z)/(y^2)	$\log (\sqrt[3]{\frac{x^{7} z}{y^{2}}})$
10331	Solve Using the Quadratic Formula	3x^2+8x=3	$3 x^{2} + 8 x = 3$
10332	Solve Using the Quadratic Formula	3x^2+7x+4=0	$3 x^{2} + 7 x + 4 = 0$
10333	Solve Using the Quadratic Formula	3x^2+5x-12=0	$3 x^{2} + 5 x - 12 = 0$
10334	Convert to Scientific Notation	245 , 600 , 0 , 0	$245$ , $600$ , $0$ , $0$
10335	Solve Using the Quadratic Formula	3x^2=5x-1	$3 x^{2} = 5 x - 1$
10336	Find the Inverse	p(m)=m/6+9	$p (m) = \frac{m}{6} + 9$
10337	Solve Using the Quadratic Formula	3x^2-4x=-2	$3 x^{2} - 4 x = - 2$
10338	Convert to a Simplified Fraction	0.14	$0.14$
10339	Solve Using the Quadratic Formula	3x^2-33=0	$3 x^{2} - 33 = 0$
10340	Solve Using the Quadratic Formula	240=-16t^2+128t	$240 = - 16 t^{2} + 128 t$
10341	Write in Standard Form	(-4x^4+x^2-4)+(5x^2-4)	$(- 4 x^{4} + x^{2} - 4) + (5 x^{2} - 4)$
10342	Solve Using the Quadratic Formula	3a^2=6a-3	$3 a^{2} = 6 a - 3$
10343	Write in Standard Form	(16-26i)+(-3+27i)	$(16 - 26 i) + (- 3 + 27 i)$
10344	Solve Using the Quadratic Formula	x^2-9x=10	$x^{2} - 9 x = 10$
10345	Find the LCD	1/((a+1)^2) , 1/((a-1)^2) , 2/(a^2-1)	$\frac{1}{{(a + 1)}^{2}}$ , $\frac{1}{{(a - 1)}^{2}}$ , $\frac{2}{a^{2} - 1}$
10346	Solve Using the Quadratic Formula	x^2-8x+14=0	$x^{2} - 8 x + 14 = 0$
10347	Find the Constant of Variation	2y=16x	$2 y = 16 x$
10348	Solve Using the Quadratic Formula	x^2+6x+12=0	$x^{2} + 6 x + 12 = 0$
10349	Solve by Completing the Square	x^2+16x=3	$x^{2} + 16 x = 3$
10350	Solve by Completing the Square	2x^2+8x-12=0	$2 x^{2} + 8 x - 12 = 0$
10351	Solve Using the Quadratic Formula	x^2+8x-4=0	$x^{2} + 8 x - 4 = 0$
10352	Write as a Single Logarithm	log of 5+ log of 7	$\log (5) + \log (7)$
10353	Solve Using the Quadratic Formula	x^2+10x+7=0	$x^{2} + 10 x + 7 = 0$
10354	Write as a Single Logarithm	log base 3 of 4x+2 log base 3 of 5y	$\log_{3} (4 x) + 2 \log_{3} (5 y)$
10355	Solve Using the Quadratic Formula	6x^2+x=15	$6 x^{2} + x = 15$
10356	Solve Using the Quadratic Formula	6x^2-2x-1=0	$6 x^{2} - 2 x - 1 = 0$
10357	Expand Using the Binomial Theorem	(x-1/x)^3	${(x - \frac{1}{x})}^{3}$
10358	Expand Using the Binomial Theorem	(3p+4q)^3	${(3 p + 4 q)}^{3}$
10359	Solve Using the Quadratic Formula	9x^2-64=0	$9 x^{2} - 64 = 0$
10360	Solve Using the Quadratic Formula	5x^2-11x+2=0	$5 x^{2} - 11 x + 2 = 0$
10361	Convert to Radical Form	y5/2	$y \frac{5}{2}$
10362	Solve Using the Quadratic Formula	5x^2-15=0	$5 x^{2} - 15 = 0$
10363	Identify the Zeros and Their Multiplicities	f(x)=-x^5+9x^4-18x^3	$f (x) = - x^{5} + 9 x^{4} - 18 x^{3}$
10364	Solve Using the Quadratic Formula	5x^2+2x+1=0	$5 x^{2} + 2 x + 1 = 0$
10365	Find the Lower or First Quartile	18 , 20 , 11 , 10 , 8 , 6 , 12 , 4	$18$ , $20$ , $11$ , $10$ , $8$ , $6$ , $12$ , $4$
10366	Solve Using the Quadratic Formula	4x^2+12x=-9	$4 x^{2} + 12 x = - 9$
10367	Find the Inverse	x^3-7	$x^{3} - 7$
10368	Solve Using the Quadratic Formula	4x^2+6x+2=0	$4 x^{2} + 6 x + 2 = 0$
10369	Reduce the Fraction	30/360	$\frac{30}{360}$
10370	Find the Domain	f(x)=7/(x-8)	$f (x) = \frac{7}{x - 8}$
10371	Solve Using the Quadratic Formula	4x^2-5x-9=0	$4 x^{2} - 5 x - 9 = 0$
10372	Find the Domain	f(x)=4x-16	$f (x) = 4 x - 16$
10373	Solve for x	-3x-8+6x=7	$- 3 x - 8 + 6 x = 7$
10374	Calculate the Square Root	square root of 71	$\sqrt{71}$
10375	Find the x and y Intercepts	y=3x^2+3x-6	$y = 3 x^{2} + 3 x - 6$
10376	Find the x and y Intercepts	y=-4x-7	$y = - 4 x - 7$
10377	Find the Discriminant	-4x^2-12x-9=0	$- 4 x^{2} - 12 x - 9 = 0$
10378	Find the x and y Intercepts	y=5x^2+4x-1	$y = 5 x^{2} + 4 x - 1$
10379	Calculate the Square Root	square root of 841	$\sqrt{841}$
10380	Convert to Interval Notation	x^2<=6x-4	$x^{2} \leq 6 x - 4$
10381	Find the Discriminant	x^2+8x+16=0	$x^{2} + 8 x + 16 = 0$
10382	Convert to Interval Notation	x/(x-2)>0	$\frac{x}{x - 2} > 0$
10383	Find the Discriminant	x^2+6x+9=0	$x^{2} + 6 x + 9 = 0$
10384	Simplify/Condense	natural log of x+ natural log of yx	$\ln (x) + \ln (y x)$
10385	Factor	2x^2+20x+48	$2 x^{2} + 20 x + 48$
10386	Write in Standard Form	x^2-5x-5=2x+3	$x^{2} - 5 x - 5 = 2 x + 3$
10387	Factor	2x^2+3x-35	$2 x^{2} + 3 x - 35$
10388	Subtract	(-5m^2-8)-(-3m^2+m+2)	$(- 5 m^{2} - 8) - (- 3 m^{2} + m + 2)$
10389	Factor	2v^2+9v+9	$2 v^{2} + 9 v + 9$
10390	Subtract	(6u^2+5u^2v^2-3uv^2)-(4u^4+5u^2v^2-5uv)	$(6 u^{2} + 5 u^{2} v^{2} - 3 u v^{2}) - (4 u^{4} + 5 u^{2} v^{2} - 5 u v)$
10391	Factor	2x^2-8x-10	$2 x^{2} - 8 x - 10$
10392	Subtract	(1-2i)-(14-3i)	$(1 - 2 i) - (14 - 3 i)$
10393	Factor	2x^2-4	$2 x^{2} - 4$
10394	Factor	2x^3-18x^2+40x	$2 x^{3} - 18 x^{2} + 40 x$
10395	Subtract	(3+3i)-(13+15i)	$(3 + 3 i) - (13 + 15 i)$
10396	Factor	20x^2-5	$20 x^{2} - 5$
10397	Subtract	(x^2-14x+33)/(x^2-6x-55)-5/(3x^2+15x)	$\frac{x^{2} - 14 x + 33}{x^{2} - 6 x - 55} - \frac{5}{3 x^{2} + 15 x}$
10398	Factor	16x^2+16x+4	$16 x^{2} + 16 x + 4$
10399	Write as a Function of x	log base 3/4 of 25=3x-1	$\log_{\frac{3}{4}} (25) = 3 x - 1$
10400	Factor	15x^2-14x+3	$15 x^{2} - 14 x + 3$