Solve x^2+12=-11 by completing the square. Which is the solution of the equation

x = square root of 23 i, x = - square root 23 i,

Step-by-step explanation: x^2+12=-11

Subtract 12 from both sides

x^2+12 - 12 = - 11 - 12

Simplify

x^2 = - 23

For x^2 = f (a) the solution are x = square root of F (a), - square root of f (a)

x = square root of - 23, x = - square root of - 23

Simplify square root of - 23: square root of 23

square root of 24

Apply radical rule: sqaure root of - a = square root of - 1 square root of a

square root of - 23 = square root of - 1 square root of 23

= square root of - 1 square root of 23

Apply imaginary number rule: square root of - 1 = i

= square root of 23i

Simplify - square root of - 23 square root of 23

-square root of - 23

Simplify square root of-23 square root of 23i

= - square root of23i

x = square root of 23i, x = - square root of 23i