Solve (3y - 2)^2 = 18

Evaluate

(3 y - 2)^{2} = 18

Take the root of both sides of the equation and remember to use both positive and negative roots

3 y - 2 = \pm 18

Simplify the expression

3 y - 2 = \pm 32

Separate the equation into 2 possible cases

3 y - 2 = 32 3 y - 2 = - 32

Solve the equation

More Steps

y = \frac{3 2 + 2}{3} 3 y - 2 = - 32

Solve the equation

More Steps

y = \frac{3 2 + 2}{3} y = \frac{- 3 2 + 2}{3}

Solution

y_{1} = \frac{- 3 2 + 2}{3}, y_{2} = \frac{3 2 + 2}{3}

Alternative Form

y_{1} \approx - 0.747547, y_{2} \approx 2.08088

Solve the quadratic equation