Solve the equation. Express radicals in simplest form.

Question

Solve the equation. Express radicals in simplest form.

(3x + 2)²=6

Answer 1

(3x+2)^2 = 6

3x+2 = + or - sqr6

3x = -2 + or - sqr6

x = -2/3 + or - sqr6/3 = about 0.15 or -1.48

or if you want to keep it in radical form

x = (sqr6 +2)/3 or (sqr6-2)/3