Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
139501	Determine the Possible Number of Real Roots	x^2-3x+7=0	$x^{2} - 3 x + 7 = 0$
139502	Determine the Possible Number of Real Roots	x^2+6x-55=0	$x^{2} + 6 x - 55 = 0$
139503	Determine the Possible Number of Real Roots	4x^2-8x+3=0	$4 x^{2} - 8 x + 3 = 0$
139504	Determine the Possible Number of Real Roots	4x^2-8x+4=0	$4 x^{2} - 8 x + 4 = 0$
139505	Determine the Possible Number of Real Roots	-4x^2-6x-5=0	$- 4 x^{2} - 6 x - 5 = 0$
139506	Determine the Possible Number of Real Roots	-4x^2-3x-3=0	$- 4 x^{2} - 3 x - 3 = 0$
139507	Determine the Possible Number of Real Roots	-2x^2-x-3=0	$- 2 x^{2} - x - 3 = 0$
139508	Determine the Possible Number of Real Roots	3x^3+28x^2+65x=0	$3 x^{3} + 28 x^{2} + 65 x = 0$
139509	Determine the Possible Number of Real Roots	3x^2-6x+4=0	$3 x^{2} - 6 x + 4 = 0$
139510	Determine the Possible Number of Real Roots	3x^2-5x+1=0	$3 x^{2} - 5 x + 1 = 0$
139511	Find Where Increasing/Decreasing	y=x^2-7x	$y = x^{2} - 7 x$
139512	Find Where Increasing/Decreasing	y=x^2-x-6	$y = x^{2} - x - 6$
139513	Find Where Increasing/Decreasing	y=x^2+4x-5	$y = x^{2} + 4 x - 5$
139514	Find Where Increasing/Decreasing	y=x^3-4x	$y = x^{3} - 4 x$
139515	Find Where Increasing/Decreasing	y=x^4-4x^2	$y = x^{4} - 4 x^{2}$
139516	Find Where Increasing/Decreasing	y=x^4-4x^3+3x^2-3	$y = x^{4} - 4 x^{3} + 3 x^{2} - 3$
139517	Determine the Possible Number of Real Roots	12x^3+77x^2-48x+7=0	$12 x^{3} + 77 x^{2} - 48 x + 7 = 0$
139518	Solve for z1	z_1=6+2 square root of 3i	$z_{1} = 6 + 2 \sqrt{3 i}$
139519	Find the Circle Using the Diameter End Points	(2,7) , (8,9)	$(2, 7) (8, 9)$
139520	Find the Circle Using the Diameter End Points	(1,4) , (-3,2)	$(1, 4)$ , $(- 3, 2)$
139521	Find Where Increasing/Decreasing	y=0.8^x	$y = {0.8}^{x}$
139522	Find Where Increasing/Decreasing	y=10(0.45)^x	$y = 10 {(0.45)}^{x}$
139523	Find Where Increasing/Decreasing	y=20(0.8)^x	$y = 20 {(0.8)}^{x}$
139524	Find Where Increasing/Decreasing	y=2x^2	$y = 2 x^{2}$
139525	Find Where Increasing/Decreasing	y=3(1/2)^x	$y = 3 {(\frac{1}{2})}^{x}$
139526	Find Where Increasing/Decreasing	y=3^x-1	$y = 3^{x} - 1$
139527	Find Where Increasing/Decreasing	y=3(4^x)	$y = 3 (4^{x})$
139528	Find Where Increasing/Decreasing	y=3(3.4)^x	$y = 3 {(3.4)}^{x}$
139529	Find Where Increasing/Decreasing	y=40(1-0.4)^x	$y = 40 {(1 - 0.4)}^{x}$
139530	Find Where Increasing/Decreasing	y=400*0.99^x	$y = 400 \cdot {0.99}^{x}$
139531	Find Where Increasing/Decreasing	y=-4^(-x)	$y = - 4^{- x}$
139532	Solve for v0	h(t)=-16t^2+v_0t+h_0	$h (t) = - 16 t^{2} + v_{0} t + h_{0}$
139533	Solve for v0	s(t)=1/2gt^2+v_0t+s_0	$s (t) = \frac{1}{2} g t^{2} + v_{0} t + s_{0}$
139534	Solve for x1	-1=(x_1-45)/8.3	$- 1 = \frac{x_{1} - 45}{8.3}$
139535	Solve for x2	(3(x_1-x_2))/m=B	$\frac{3 (x_{1} - x_{2})}{m} = B$
139536	Solve for x2	(5(x_1-x_2))/m=b	$\frac{5 (x_{1} - x_{2})}{m} = b$
139537	Solve for x2	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
139538	Solve for s6	s_6=(4(1-2^6))/(1-2)	$s_{6} = \frac{4 (1 - 2^{6})}{1 - 2}$
139539	Solve for I	P=(V-I)/L	$P = \frac{V - I}{L}$
139540	Solve for I	P=(V-I)/R	$P = \frac{V - I}{R}$
139541	Solve for I	80=10 log of I/(10^-12)	$80 = 10 \log (\frac{I}{10^{- 12}})$
139542	Solve for I	148=10 log of I/(10^-12)	$148 = 10 \log (\frac{I}{10^{- 12}})$
139543	Solve for I	r=v/I	$r = \frac{v}{I}$
139544	Solve for d2	(2(d_1-d_2))/L=W	$\frac{2 (d_{1} - d_{2})}{L} = W$
139545	Solve for d2	(3(d_1-d_2))/l=w	$\frac{3 (d_{1} - d_{2})}{l} = w$
139546	Solve for I	10 log of I/(10^-12)=121	$10 \log (\frac{I}{10^{- 12}}) = 121$
139547	Solve for n2	((n_1-n_2)m)/8=Y	$\frac{(n_{1} - n_{2}) m}{8} = Y$
139548	Solve for n2	((n_1-n_2)m)/9=y	$\frac{(n_{1} - n_{2}) m}{9} = y$
139549	Solve for m1	m_1u_1+m_2u_2=m_1v_1+m_2v_2	$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$
139550	Solve for l0	l_0=10^-12	$l_{0} = 10^{- 12}$
139551	Solve for l0	l=10^32(l_0)	$l = 10^{32} (l_{0})$
139552	Solve for p1	p_1v_1=p_2v_2	$p_{1} v_{1} = p_{2} v_{2}$
139553	Solve for P0	60=P_0e^(-0.2(7))	$60 = P_{0} e^{- 0.2 (7)}$
139554	Solve for s5	s_5=(4(1-2^5))/(1-2)	$s_{5} = \frac{4 (1 - 2^{5})}{1 - 2}$
139555	Solve for R1	(2R_1 square root of R_1)/(R_1+2 square root of R_1)=15	$\frac{2 R_{1} \sqrt{R_{1}}}{R_{1} + 2 \sqrt{R_{1}}} = 15$
139556	Solve for r1	1/35=1/r_1+1/80	$\frac{1}{35} = \frac{1}{r_{1}} + \frac{1}{80}$
139557	Solve for a2	a_2=(-1)^(2+1)(2+4)	$a_{2} = {(- 1)}^{2 + 1} (2 + 4)$
139558	Solve for a2	a_2=(-1)^2(2+8)	$a_{2} = {(- 1)}^{2} (2 + 8)$
139559	Solve for a2	(sin(4.71))/a_2=(sin(20))/9	$\frac{\sin (4.71)}{a_{2}} = \frac{\sin (20)}{9}$
139560	Solve for a1	a_1=n+1	$a_{1} = n + 1$
139561	Solve for a1	a_1+1=(-2)a_1	$a_{1 + 1} = (- 2) a_{1}$
139562	Solve for a2	a_2=(5(2)^2)/(2^2)	$a_{2} = \frac{5 {(2)}^{2}}{2^{2}}$
139563	Solve for a2	a_2=(-2)^2	$a_{2} = {(- 2)}^{2}$
139564	Solve for a1	a_1=4*(-5)^(1-1)	$a_{1} = 4 \cdot {(- 5)}^{1 - 1}$
139565	Solve for a1	a_1=5(1)-2	$a_{1} = 5 (1) - 2$
139566	Solve for a1	29=a_1+(8-1)*6	$29 = a_{1} + (8 - 1) \cdot 6$
139567	Solve for a1	a_1=(-1)^(1+1)*2(1)^2	$a_{1} = {(- 1)}^{1 + 1} \cdot 2 {(1)}^{2}$
139568	Solve for a1	a_1=(1^2)/(1!)	$a_{1} = \frac{1^{2}}{1!}$
139569	Solve for a1	a_1=1+2	$a_{1} = 1 + 2$
139570	Solve for a4	a_4=5(4)^(4-1)	$a_{4} = 5 {(4)}^{4 - 1}$
139571	Solve for a6	a_6=a_6-2+a_6-1	$a_{6} = a_{6 - 2} + a_{6 - 1}$
139572	Solve for a9	a_9=1+1/9	$a_{9} = 1 + \frac{1}{9}$
139573	Solve for a8	a_8=(4)(-6)^(8-1)	$a_{8} = (4) {(- 6)}^{8 - 1}$
139574	Solve for a2	a_2=5(4)^(2-1)	$a_{2} = 5 {(4)}^{2 - 1}$
139575	Solve for a2	a_2=51+(2-1)*7	$a_{2} = 51 + (2 - 1) \cdot 7$
139576	Solve for a2	a_2=a_2-1+6	$a_{2} = a_{2 - 1} + 6$
139577	Solve for a2	a_2=a_2-1+1	$a_{2} = a_{2 - 1} + 1$
139578	Solve for a2	a_2=5(2)+4	$a_{2} = 5 (2) + 4$
139579	Solve for a3	a_3=(2(3))/(3+2)	$a_{3} = \frac{2 (3)}{3 + 2}$
139580	Solve for a3	a_3=(-1)^(3+1)*2(3)^2	$a_{3} = {(- 1)}^{3 + 1} \cdot 2 {(3)}^{2}$
139581	Solve for a3	a_3=(3^2-14)/(3^2+14)	$a_{3} = \frac{3^{2} - 14}{3^{2} + 14}$
139582	Solve for a3	a_3=3/(3!)	$a_{3} = \frac{3}{3!}$
139583	Solve for a3	a_3=2a_3-1	$a_{3} = 2 a_{3 - 1}$
139584	Solve for a3	a_3=3(3)+4	$a_{3} = 3 (3) + 4$
139585	Solve for a3	a_3=5(3)+3	$a_{3} = 5 (3) + 3$
139586	Solve for a4	a_4=(2^4)/(3(4)^2)	$a_{4} = \frac{2^{4}}{3 {(4)}^{2}}$
139587	Write as a Set of Linear Factors	h(x)=2x^4-3x^3-15x^2+32x-12	$h (x) = 2 x^{4} - 3 x^{3} - 15 x^{2} + 32 x - 12$
139588	Write as a Set of Linear Factors	h(x)=x^3+4x^2-10x-4	$h (x) = x^{3} + 4 x^{2} - 10 x - 4$
139589	Write as a Set of Linear Factors	h(x)=x^3-5x^2+5x+3	$h (x) = x^{3} - 5 x^{2} + 5 x + 3$
139590	Write as a Set of Linear Factors	p(x)=x^5-4x^3-2x^2-4x	$p (x) = x^{5} - 4 x^{3} - 2 x^{2} - 4 x$
139591	Find the Slope and y-intercept	12x+4y=-4	$12 x + 4 y = - 4$
139592	Find the Slope and y-intercept	12x+4y=-8	$12 x + 4 y = - 8$
139593	Identify the Polar Equation	r=-3cos(x)	$r = - 3 \cos (x)$
139594	Identify the Polar Equation	rsin(theta)=2	$r \sin (θ) = 2$
139595	Identify the Polar Equation	r=2sin(2theta)	$r = 2 \sin (2 θ)$
139596	Identify the Polar Equation	r=2sin(3theta)	$r = 2 \sin (3 θ)$
139597	Identify the Polar Equation	r=1+sin(theta)	$r = 1 + \sin (θ)$
139598	Identify the Polar Equation	r=3/(sin(theta))	$r = \frac{3}{\sin (θ)}$
139599	Identify the Polar Equation	z=3i	$z = 3 i$
139600	Identify the Polar Equation	z=6.2+37i	$z = 6.2 + 37 i$