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

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Answer 1 · 2015-02-04T16:20:50

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#