Asked by Lemy
Solve for all values of xx by factoring.
x, squared, minus, 6, x, minus, 40, equals, 0
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Solve x^2 − 6x − 40 = 0 by factoring.
Find two numbers that multiply to −40 and add to −6: −10 and +4.
So x^2 − 6x − 40 = (x − 10)(x + 4) = 0.
Thus x − 10 = 0 ⇒ x = 10, or x + 4 = 0 ⇒ x = −4.
Answer: x = 10 or x = −4.
Find two numbers that multiply to −40 and add to −6: −10 and +4.
So x^2 − 6x − 40 = (x − 10)(x + 4) = 0.
Thus x − 10 = 0 ⇒ x = 10, or x + 4 = 0 ⇒ x = −4.
Answer: x = 10 or x = −4.
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