Question

Please help ASAP!!!!

Answer 1

We are given the below equation

`\frac{x^2\text{ + 20}}{x(x-2)}\text{ = 14 -x / x -2}`

Open the parenthesis

x^2 + 20/ x^2 - 2x = 14 - x / x - 2

Introduce cross multiply

(x^2 + 20)(x - 2) = x2 - 2x(14 - x)

Open the parentheses

x^3 - 2x^2 + 20x - 40= 14x^2 - x^3 - 28x + 2x^2

Collect the like terms

x^3 - 2x^2 + 20x - 40 = 14x^2 + 2x^2 - x^3 - 28x

x^3 + x^3 - 2x^2 - 16x^2 + 28x - 40 = 0

2x^3 - 18x^2 + 28x - 40 = 0

2 is common so factorize 2 out

2(x^3 - 9x^2 + 14x - 20) = 0

2 = 0 or x^3 - 9x^2 + 14x - 20 = 0

x^3 - 9x^2 + 14x - 20 = 0