Question

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

Answer 1

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

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