Question

Enter the correct answer in the box. What are the solutions to the equation (x - 21)^2 = 25?​

Answer 1

x = 26

Explanation:

`{(x - 21)}^(2) = 25 \\ x - 21 = √(25) \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26`

Answer 2

x = 26, x = 16.

Explanation:

(x - 21)² = 25

Expand the factor.

(x - 21)(x - 21) = 25

Multiply using FOIL.

x² - 42x + 441 = 25

Subtract 25 from both sides.

x² - 42x + 416 = 0

Factor.

(x - 26)(x - 16) = 0.

Set both expressions to 0 and solve.

x - 26 = 0

Add 26 to both sides.

x = 26

x - 16 = 0

Add 16 to both sides.

x = 16