How do you solve x^2-9x+14=0x29x+14=0?

1 Answer
Feb 4, 2015

Solve x^2- 9x + 14 = 0x29x+14=0.

The answer is x = 7x=7 and x = 2x=2.

Factor the left side of the equation.
(x - 7)(x- 2) =0(x7)(x2)=0

Solve each term in the product separately.
x - 7 = 0x7=0
Add 7 to both sides.
x = 7x=7

x - 2 = 0x2=0
Add 2 to both sides.
x = 2x=2

Check.
x= 7x=7
7^2 - 9(7) + 14 = 0729(7)+14=0
49 - 63 + 14 = 04963+14=0

x = 2x=2
2^2 - 9(2) + 14 = 0229(2)+14=0
4 - 18 + 14 = 0418+14=0