Question

X^2 - 2x = 8
Find the value of X

Answer 1

4 and - 2

Explanation:

x² - 2x = 8

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

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

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

x + 2 = 0

x = - 2

x - 4 = 0

x = 4

The values of x are - 2 and 4.

Answer 2

To find the solutions to the quadratic equations

⇒ factor the equation

`x^2-2x = 8\\x^2-2x-8=0\\(x-4)(x+2) = 0`

Now to find the exact solutions, we have to set 'x - 4' and 'x + 2' equal to 0

`x - 4 = 0\\x = 4\\\\x + 2 = 0\\x = -2`

Thus the solution to this problem is -2 and 4

Hope that helps!