Question

15 points and show steps

Solve for x. Write the smaller solution first, and the larger solution second. -2x^2-9=-107

Answer 1

x = -7 and x = 7

Explanation:

`-2x^2-9=-107\qquad\text{add 9 to both sides}\\\\-2x^2-9+9=-107+9\\\\-2x^2=-98\qquad\text{divide both sides by (-2)}\\\\(-2x^2)/(-2)=(-98)/(-2)\\\\x^2=49\to x=\pm√(49)\\\\x=-7\ \vee\ x=7`