Question

Solve the following quadratic equation for all values of x in simplest form. 6- 2.r? = -2

Answer 1

EXPLANATION

Given the equation 6 - 2x^2 = -2

Adding -6 to both sides

6 - 6 - 2x^2 = -2 -6

Simplifying:

-2x^2 = -8

Dividing both sides by -2:

x^2 = -8/-2

Simplifying the fraction:

x^2=4

Applying the square root to both sides:

$x_1,x_2=\pm\sqrt[]{4}$

Solving the square root:

$x_1,x_2=\pm2$

The answer is +- 2