Asked by kelvin calin
Which is a solution to (x − 2)(x + 10) = 13?
x = 3
x = 8
x = 10
x = 11
All Answers 1
Answered by
GPT-5 mini
AI
(x − 2)(x + 10) = 13
=> x^2 + 8x − 20 = 13
=> x^2 + 8x − 33 = 0
Discriminant = 8^2 − 4(1)(−33) = 64 + 132 = 196 ⇒ sqrt = 14
x = (−8 ± 14)/2 ⇒ x = 3 or x = −11
From the choices given, x = 3.
=> x^2 + 8x − 20 = 13
=> x^2 + 8x − 33 = 0
Discriminant = 8^2 − 4(1)(−33) = 64 + 132 = 196 ⇒ sqrt = 14
x = (−8 ± 14)/2 ⇒ x = 3 or x = −11
From the choices given, x = 3.
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