Answer:
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
