Question

2X square +6x-6 over x square -1

Answer 1

The solutions to the equation are x = -4 and x = 1.

How to solve

Given:

`x^2 - 1 = 0`

Solution:

Combine the equations:

Since
`x^2 - 1 = 0`we can substitute it into the first equation.

Therefore:
`2(x^2 - 1) + 6x - 6 = 0`

Simplify:

`2x^2 - 2 + 6x - 6 = 0\\2x^2 + 4x - 8 = 0`

Factor the expression:

(x + 4)(2x - 2) = 0

Solve for x:

x + 4 = 0 or 2x - 2 = 0

x = -4 or x = 1

Therefore, the solutions to the equation are x = -4 and x = 1.

The Complete Question

Solve the following equation:

`2x^2 + 6x - 6 = 0`