Solve (5x-4)^2-9=0

Evaluate

(5 x - 4)^{2} - 9 = 0

Add or subtract both sides

(5 x - 4)^{2} = 9

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

5 x - 4 = \pm 9

Simplify the expression

5 x - 4 = \pm 3

Separate the equation into 2 possible cases

5 x - 4 = 3 5 x - 4 = - 3

Solve the equation

More Steps

x = \frac{7}{5} 5 x - 4 = - 3

Solve the equation

More Steps

x = \frac{7}{5} x = \frac{1}{5}

Solution

x_{1} = \frac{1}{5}, x_{2} = \frac{7}{5}

Alternative Form

x_{1} = 0.2, x_{2} = 1.4

Solve the quadratic equation