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solve the following quadratic equation by factoring and check the result.

a.) x² + 5x = 24
b.) x² + 22x + 121 = 0


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a.) x = 3 or x = 8

Solution:

x² + 5x - 24 = 24 - 24

x² + 5x - 24 = 0

(x - 3)(x + 8) = 0

x - 3 = 0 / x + 8 = 0

x = 3 or x = -8 (two solution)

b.) x = -11

Solution:

x² + 22x + 121 = 0

(x + 11)(x + 11) = 0

x + 11 = 0

x = -11

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