Solve (2x-5)^2-81=0

Evaluate

(2 x - 5)^{2} - 81 = 0

Add or subtract both sides

(2 x - 5)^{2} = 81

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

2 x - 5 = \pm 81

Simplify the expression

2 x - 5 = \pm 9

Separate the equation into 2 possible cases

2 x - 5 = 9 2 x - 5 = - 9

Solve the equation

More Steps

x = 7 2 x - 5 = - 9

Solve the equation

More Steps

x = 7 x = - 2

Solution

x_{1} = - 2, x_{2} = 7

Solve the quadratic equation