How do you solve 2x^2 = 16?

1 Answer
Aug 2, 2015

x=2sqrt2, -2sqrt 2

Explanation:

2x^2=16

Divide both sides of the equation by 2.

x^2=16/2 =

x^2=8

Take the square root of both sides.

x=+-sqrt8

x=+-sqrt(2xx2xx2)

x=+-sqrt(2^2xx2)

Apply the rule sqrt (a^2)=a.

x=+-2sqrt2

Solve for x.

x=2sqrt 2

x=-2sqrt2