Question

Name the two solutions of (2x – 1)^2 = 25.

Answer 1

3 & -2

Explanation:

(2x – 1)^2 = 25

2x -1 = ±√25

2x -1 = ± 5

• 2x = 5+1

2x = 6

x = 3

• 2x = -5+1

2x = -4

x = -2

Answer 2

Solution given:

(2x – 1)^2 = 25.

square root on both side

`√((2x-1)²)=√(25)`

2x-1=±5

Taking positive

2x-1=+5

2x=+5+1

x=6/2=3

Taking negative

2x-1=-5

2x=-5+1

x=-4/2

x=-2

The two Solution is x=-2 and x=3.