Solve the quadratic equation by the square root property

Question

(2x - 1)2 = 25

Answer 1

( 2 x - 1 ) ^ 2 = 25

Take the square root of both sidea

2 x - 1 = + OR - 5

Add 1 to both sides

2 x - 1 + 1 = + OR - 5 + 1

2 x = + OR - 5 + 1

Divide both sides by 2

x = ( + OR - 5 + 1 ) / 2

x 1 = ( 5 + 1 ) / 2 = 6 / 2 = 3

x 2 = ( - 5 + 1 ) / 2 = - 4 / 2 = - 2