Question

5-2x^2=-15

Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.

Answer 1

Explanation:

Simplifying

5 + -2x2 = -15

Solving

5 + -2x2 = -15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + -2x2 = -15 + -5

Combine like terms: 5 + -5 = 0

0 + -2x2 = -15 + -5

-2x2 = -15 + -5

Combine like terms: -15 + -5 = -20

-2x2 = -20

Divide each side by '-2'.

x2 = 10

Simplifying

x2 = 10

Take the square root of each side:

x = {-3.16227766, 3.16227766}