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What is the sum of all the x-values that satisfy the equation $5 = \dfrac{x^3 - 2x^2 -8x}{x+2}$

 Feb 22, 2021

Best Answer 

 #1
avatar+944 
+1

\(5(x+2) = x^3 - 2x^2 - 8x\)

 

\(5(x+2) = x(x-4)(x+2)\)

 

\(5 = x(x-4)\)                    . (notice that x can't be equal to -2)

 

\(0 = x^2 - 4x - 5\)

 

\(\boxed{x = 5, -1}\)

 Feb 22, 2021
 #1
avatar+944 
+1
Best Answer

\(5(x+2) = x^3 - 2x^2 - 8x\)

 

\(5(x+2) = x(x-4)(x+2)\)

 

\(5 = x(x-4)\)                    . (notice that x can't be equal to -2)

 

\(0 = x^2 - 4x - 5\)

 

\(\boxed{x = 5, -1}\)

CubeyThePenguin Feb 22, 2021

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