Solve the quadratic equation. List your solutions. Simply if necessary.

Question

x² −6x+9=125

x=

Answer 1

Hello, Abraham,

x² −6x+9=125

We can factor the left side, and express 125 as 5*25:

(x-3)² = 5*25

Take the square root of both sides:

(x-3) = 3(+ or -)5*5^1/2

x = 3+5^(3/2) and 3-5^(3/2)

I hope this helps,

Bob

Answer 2

x² −6x+9=125

x² −6x-116 = 0

x = (6 ±√(36+464))/2 = (6 ± 10√5)

x = 3 + 5√5, 3 - 5√5