Question

Solve the following non-linear system of equations algebraically.

y = - 2x² - 4x + 5 and
y = 2x^2 + 4x + 5

Answer 1

x = -2

Explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2