Is x = –3 a solution to the equation –3x2 = –27?

Mathematics · High School · Thu Feb 04 2021

Answered on

Given:

-3x^2 = - 27

Determine if x= -3 is a solution.

Solution:

To do so we simply need to divide both sides of the equation by -3 first.

-3x^2  = -27

-3x^2/-3 = -27/-3

x^2 = 9

Now we need to take the square root of both sides of the equation, this can be done by enclosing the value with a square root sign or by raising both sides of the equation with ½.

(x^2)^½ = (9)^½

x = +3

x = -3

FInal answer:
x = -3 is included in the solution.