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Well, if that was a - 13X we could factor by inspection, but now the quadratic formula is needed. By inspection the discriminant yields two real roots.

X^2 + 13X + 36 = 0

X = - b (+/-) sqrt(b^2-4ac)/2a

a = 1

b = 13

c = 36

X = - 13 (+/-) sqrt[b^2 - 4(1)(36)]/2(1)

X = - 13 (+/-) sqrt(169 - 144)/2

X = - 13 (+/-) sqrt(25)/2

X = [- 13 (+/-) 5]/2

X = - 4

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X = - 9

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Q: What is x squared plus 13x plus 36 equals 0 factor to?
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