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

Question

x^2−6x+9=125

x=

Answer 1

Hi Axl

You can use the quadratic formula or you can factor this then solve x

x² - 6x + 9 = 125

(x -3)² = 125

(x - 3) = √125

(x - 3) = ±5√5

x = ±5√5 + 3

x = 14.18

x = - 8.18

You can check this with the quadratic formula as follows

x² - 6x + 9 = 125

Subtract 125 from both sides of the equation to give

x² - 6x + 9 -125 =0

x² - 6x - 116 =0

Where

a = 1

b = -6

c = -116

Plug the variables into the Quadractic Formula to get values for x

Give it a try.

Of course you can also check by plugging 14.18 and -8.18 back into your original equation. Also you can graph your quadratic at Desmos.com