Question

(x+4)^2-(x-5)^2=9
Plz solve this for me

Answer 1

The value of x is equal to 1.

(x + 4)^2 - (x - 5)^2 = 9

Expand.

(x + 4)(x + 4) - (x - 5)(x - 5) = 9

FOIL.

x^2 + 4x + 4x + 16 - (x^2 - 5x - 5x + 25) = 9

Distribute -1 to each term inside parentheses.

x^2 + 4x + 4x + 16 - x^2 + 5x + 5x - 25 = 9

Combine like terms.

18x - 9 = 9

Add 9 to both sides.

18x = 18

Divide both sides by 18.

x = 1