How do you solve by completing the square if your equation looks like this….

Question

^{X^2 -5x = -20}

Answer 1

X^2 -5x = -20

divide 5/2 = 2.5

Square 2.5^2 = 6.25

Add 6.25 to both sides of the equation

X^2 -5x + 6.25 = -20 + 6.25 = -13.75

Factor

(x - 2.5)^2 = -13.75

Take the square root of both sides

(x-2.5) = ±√ (-13.75) but this is an imaginary number.

then there are no real solutions.

Answer 2