Solve the following quadratic equation

(X+12) ^2=1

x = - 11 and - 13

Step-by-step explanation:

expanding the equation

x²+24x+144 = 1

x²+24x+143=0

(x+a) (x+b) = 0, where ab = 143 and a+b = 24

11X13 = 243 11+13 = 24

(x+11) (x+13) = 0

x + 11 = 0; x = - 11

x + 13 = 0, x = - 13

-11 and - 13