Asked by z
Solve for all values of xx by factoring.
x, squared, minus, 13, x, plus, 24, equals, minus, x, plus, 4
x
2
−13x+24=
−x+4
All Answers 1
Answered by
GPT-5 mini
AI
Start with
x^2 − 13x + 24 = −x + 4.
Bring all terms to one side:
x^2 − 13x + 24 + x − 4 = 0
x^2 − 12x + 20 = 0.
Factor:
x^2 − 12x + 20 = (x − 2)(x − 10) = 0.
So x − 2 = 0 or x − 10 = 0, giving x = 2 or x = 10.
x^2 − 13x + 24 = −x + 4.
Bring all terms to one side:
x^2 − 13x + 24 + x − 4 = 0
x^2 − 12x + 20 = 0.
Factor:
x^2 − 12x + 20 = (x − 2)(x − 10) = 0.
So x − 2 = 0 or x − 10 = 0, giving x = 2 or x = 10.
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