How do you solve x^2-9x+14=0?

1 Answer
Feb 4, 2015

Solve x^2- 9x + 14 = 0.

The answer is x = 7 and x = 2.

Factor the left side of the equation.
(x - 7)(x- 2) =0

Solve each term in the product separately.
x - 7 = 0
Add 7 to both sides.
x = 7

x - 2 = 0
Add 2 to both sides.
x = 2

Check.
x= 7
7^2 - 9(7) + 14 = 0
49 - 63 + 14 = 0

x = 2
2^2 - 9(2) + 14 = 0
4 - 18 + 14 = 0