Question

Solve using square root method

Answer 1

$\frac{1}{2}(x+5)^2 + 9 = -15$

$\frac{(x+5)^2+18}{2} = \frac{-30}{2}$

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3