Solve (2x-3)^2 = 25

Evaluate

(2 x - 3)^{2} = 25

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

2 x - 3 = \pm 25

Simplify the expression

2 x - 3 = \pm 5

Separate the equation into 2 possible cases

2 x - 3 = 5 2 x - 3 = - 5

Solve the equation

More Steps

x = 4 2 x - 3 = - 5

Solve the equation

More Steps

x = 4 x = - 1

Solution

x_{1} = - 1, x_{2} = 4

Solve the quadratic equation