Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
38901	Write as an Equation	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
38902	Solve for x	fx-gx=h	$f x - g x = h$
38903	Write as an Equation	f(x)=5(x-1)^2-5	$f (x) = 5 {(x - 1)}^{2} - 5$
38904	Solve for x	9x=27	$9 x = 27$
38905	Write as an Equation	f(x)=3( cube root of 8)^(2x)	$f (x) = 3 {(\sqrt[3]{8})}^{2 x}$
38906	Solve for x	8x-3y=24	$8 x - 3 y = 24$
38907	Write as an Equation	f(x)=20(0.5)^x	$f (x) = 20 {(0.5)}^{x}$
38908	Solve for x	7x-(5x-1)=2	$7 x - (5 x - 1) = 2$
38909	Solve for x	7x+52=2x-13	$7 x + 52 = 2 x - 13$
38910	Write as an Equation	f(x)=1/4 cube root of 108^x	$f (x) = \frac{1}{4} \sqrt[3]{108^{x}}$
38911	Solve for x	-8x-(3x+6)=4-x	$- 8 x - (3 x + 6) = 4 - x$
38912	Write as an Equation	f(x)=x^4-6	$f (x) = x^{4} - 6$
38913	Solve for x	8x=16	$8 x = 16$
38914	Evaluate Using Synthetic Division	f(x)=2x^3-3x^2-5x+6 ; k=1	$f (x) = 2 x^{3} - 3 x^{2} - 5 x + 6$ ; $k = 1$
38915	Solve for x	8x+39=2x-15	$8 x + 39 = 2 x - 15$
38916	Find the Exponential Function	(0,-10/9)	$(0, - \frac{10}{9})$
38917	Find the Exponential Function	(-1,1/10)	$(- 1, \frac{1}{10})$
38918	Solve for x	3x+5=17	$3 x + 5 = 17$
38919	Find the Sum of the Infinite Geometric Series	4 , 12 , 36 , 108	$4$ , $12$ , $36$ , $108$
38920	Solve for x	3x-5=16	$3 x - 5 = 16$
38921	Find the Sum of the Infinite Geometric Series	64 , 16 , 4 , 1	$64$ , $16$ , $4$ , $1$
38922	Solve for x	3x-8=0	$3 x - 8 = 0$
38923	Write as a Set of Linear Factors	f(x)=x^4+81x^2	$f (x) = x^{4} + 81 x^{2}$
38924	Solve for x	3x-2y=2	$3 x - 2 y = 2$
38925	Write as a Set of Linear Factors	f(x)=x^4-2x^3-17x^2+18x+72	$f (x) = x^{4} - 2 x^{3} - 17 x^{2} + 18 x + 72$
38926	Solve for x	3x-4=8	$3 x - 4 = 8$
38927	Solve for x	4 natural log of x=-2	$4 \ln (x) = - 2$
38928	Write as a Set of Linear Factors	f(x)=x^3+2x^2-7x-14	$f (x) = x^{3} + 2 x^{2} - 7 x - 14$
38929	Write as a Set of Linear Factors	f(x)=x^3+11x^2-5x-55	$f (x) = x^{3} + 11 x^{2} - 5 x - 55$
38930	Solve for x	4(3-x)^(4/3)-5=59	$4 {(3 - x)}^{\frac{4}{3}} - 5 = 59$
38931	Write as a Set of Linear Factors	f(x)=5x^3+7x^2+245x+343	$f (x) = 5 x^{3} + 7 x^{2} + 245 x + 343$
38932	Solve for x	2e^x=4	$2 e^{x} = 4$
38933	Solve for x	2 log base 2 of 2+2 log base 2 of 6- log base 2 of 3x=3	$2 \log_{2} (2) + 2 \log_{2} (6) - \log_{2} (3 x) = 3$
38934	Write as a Set of Linear Factors	p(x)=4x^4-x^3-8x^2+18x-4	$p (x) = 4 x^{4} - x^{3} - 8 x^{2} + 18 x - 4$
38935	Solve for x	2x^2+3x-7=0	$2 x^{2} + 3 x - 7 = 0$
38936	Solve for x	2 natural log of 3x=8	$2 \ln (3 x) = 8$
38937	Solve for x	2x+15=43-5x	$2 x + 15 = 43 - 5 x$
38938	Solve for x	2x+1=5	$2 x + 1 = 5$
38939	Solve for x	2x=y	$2 x = y$
38940	Solve for x	3(x-4)=48	$3 (x - 4) = 48$
38941	Solve for x	3e^x+1=5	$3 e^{x} + 1 = 5$
38942	Solve Using the Quadratic Formula	m^2-14m+49=0	$m^{2} - 14 m + 49 = 0$
38943	Solve for x	x-3 square root of x-4=0	$x - 3 \sqrt{x} - 4 = 0$
38944	Solve for x	x-2y=3	$x - 2 y = 3$
38945	Find the Equation Given the Roots	-4 , 2i	$- 4$ , $2 i$
38946	Solve for x	xy=4	$x y = 4$
38947	Solve for x	x-y=-7	$x - y = - 7$
38948	Find the Equation Given the Roots	4 , - square root of 5	$4$ , $- \sqrt{5}$
38949	Find the Equation Given the Roots	4 , -14 , 5+8i	$4$ , $- 14$ , $5 + 8 i$
38950	Solve for x	x+3=6	$x + 3 = 6$
38951	Find the Equation Given the Roots	3i , -3i	$3 i$ , $- 3 i$
38952	Solve for x	x+3=9	$x + 3 = 9$
38953	Find the Equation Given the Roots	-3i , 8	$- 3 i$ , $8$
38954	Find the Equation Given the Roots	-5i , 3	$- 5 i$ , $3$
38955	Solve for x	log of 3x = log of 4+ log of x-3	$\log (3 x) = \log (4) + \log (x - 3)$
38956	Find the Equation Given the Roots	7i , -7i	$7 i$ , $- 7 i$
38957	Simplify	m^2-3n^2-m^2n-2mn^2+3n^2-2m^2	$m^{2} - 3 n^{2} - m^{2} n - 2 m n^{2} + 3 n^{2} - 2 m^{2}$
38958	Find the Equation Given the Roots	-8 , -1 , 3	$- 8$ , $- 1$ , $3$
38959	Solve for x	log of x+11 = log of x+ log of 11	$\log (x + 11) = \log (x) + \log (11)$
38960	Solve for y	y=ax^2	$y = a x^{2}$
38961	Find the Equation Given the Roots	- square root of 3 , square root of 3 , 2	$- \sqrt{3}$ , $\sqrt{3}$ , $2$
38962	Factor	b^2+12b+32	$b^{2} + 12 b + 32$
38963	Find the Equation Given the Roots	-1 , 4-3i	$- 1$ , $4 - 3 i$
38964	Solve by Factoring	x^2-6x+8=0	$x^{2} - 6 x + 8 = 0$
38965	Find the Equation Given the Roots	-1 , 4i	$- 1$ , $4 i$
38966	Solve for y	y+2x=5	$y + 2 x = 5$
38967	Find the Equation Given the Roots	-1 , 5-4i	$- 1$ , $5 - 4 i$
38968	Solve for y	3x+9y=27	$3 x + 9 y = 27$
38969	Find the Equation Given the Roots	-1 , 5 , -4i	$- 1$ , $5$ , $- 4 i$
38970	Simplify	square root of y^10	$\sqrt{y^{10}}$
38971	Find the Equation Given the Roots	0+0i , 4+0i , 0+3i	$0 + 0 i$ , $4 + 0 i$ , $0 + 3 i$
38972	Solve for y	-3y-12=-4	$- 3 y - 12 = - 4$
38973	Find the Equation Given the Roots	-2 , 3 , -7	$- 2$ , $3$ , $- 7$
38974	Solve for x	x^(2/5)+x^(1/5)+1=3	$x^{\frac{2}{5}} + x^{\frac{1}{5}} + 1 = 3$
38975	Solve for x	(4x+10)^(1/4)=(9+7x)^(1/4)	${(4 x + 10)}^{\frac{1}{4}} = {(9 + 7 x)}^{\frac{1}{4}}$
38976	Find the Equation Given the Roots	-2i , 3	$- 2 i$ , $3$
38977	Solve for m	f=-(gmn)/(r^2)	$f = - \frac{g m n}{r^{2}}$
38978	Solve for x	2/3=2-(5x-3)/(x-1)	$\frac{2}{3} = 2 - \frac{5 x - 3}{x - 1}$
38979	Solve for x	4(x-5)=3x+7	$4 (x - 5) = 3 x + 7$
38980	Solve for x	log base 3 of -2x-3=2	$\log_{3} (- 2 x - 3) = 2$
38981	Find the y-intercept	-5y=-25	$- 5 y = - 25$
38982	Solve for y	y=4x+1	$y = 4 x + 1$
38983	Find the y-intercept	4y+6=0	$4 y + 6 = 0$
38984	Solve for y	y=4x-1	$y = 4 x - 1$
38985	Find the y-intercept	6y=-54	$6 y = - 54$
38986	Find the y-intercept	6x-3y+6=0	$6 x - 3 y + 6 = 0$
38987	Find the y-intercept	8y=48	$8 y = 48$
38988	Factor	1/8x^3-1/27y^3	$\frac{1}{8} x^{3} - \frac{1}{27} y^{3}$
38989	Find the y-intercept	7y=56	$7 y = 56$
38990	Find the y-intercept	log base 4 of x+3 = log base 2 of 2+x	$\log_{4} (x + 3) = \log_{2} (2 + x)$
38991	Simplify	(3x-4y)(3x+4y)	$(3 x - 4 y) (3 x + 4 y)$
38992	Simplify	(3x+2)(x-5)	$(3 x + 2) (x - 5)$
38993	Simplify	(3+4i)(5-2i)	$(3 + 4 i) (5 - 2 i)$
38994	Expand Using Pascal's Triangle	(x+1)^9	${(x + 1)}^{9}$
38995	Factor	360t+10t^3-120t^2	$360 t + 10 t^{3} - 120 t^{2}$
38996	Simplify	(2x-9)(2x+9)	$(2 x - 9) (2 x + 9)$
38997	Expand Using Pascal's Triangle	(x-1/x)^3	${(x - \frac{1}{x})}^{3}$
38998	Expand Using Pascal's Triangle	(t+1/t)^4	${(t + \frac{1}{t})}^{4}$
38999	Simplify	(2x-1)(6x-7)	$(2 x - 1) (6 x - 7)$
39000	Expand Using Pascal's Triangle	(p+1/p)^5	${(p + \frac{1}{p})}^{5}$