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

x = 11/2 x = 1/2

Step-by-step 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

{1/2, 11/2}

Step-by-step 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