Solve (x-1)^2=4/9

Evaluate

(x - 1)^{2} = \frac{4}{9}

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

x - 1 = \pm \frac{4}{9}

Simplify the expression

x - 1 = \pm \frac{2}{3}

Separate the equation into 2 possible cases

x - 1 = \frac{2}{3} x - 1 = - \frac{2}{3}

Solve the equation

More Steps

x = \frac{5}{3} x - 1 = - \frac{2}{3}

Solve the equation

More Steps

x = \frac{5}{3} x = \frac{1}{3}

Solution

x_{1} = \frac{1}{3}, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 0. \dot{3}, x_{2} = 1. \dot{6}

Solve the quadratic equation