Question

Solve quadratic equation 4(x-3)^2=25

Answer 1

{1/2, 11/2}

Explanation:

Take the square root of both sides, obtaining

2(x - 3) = ± 5

This produces two valid answers/solutions:

x - 3 = 5/2, or x = 11/2, and

x - 3 = -5/2, or x = 1/2

Answer 2

x = 11/2 x = 1/2

Explanation:

4(x-3)^2=25

Divide each side by 4

4/4(x-3)^2=25/4

(x-3)^2=25/4

Take the square root of each side

sqrt((x-3)^2)=± sqrt(25/4)

(x-3)=± sqrt(25)/ sqrt(4)

x-3 = ± 5/2

Separate into two equations

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

Add 3 to each

x-3+3 = 5/2+3 x-3+3 = -5/2+3

x = 5/2+6/2 x = -5/2 +6/2

x = 11/2 x = 1/2