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Use the function graphs to solve the equation x^3−5=−x+5
.
(1 point)
Responses
x= 2
x= 2
x= 3
x= 3
x= 0
x= 0
x= 5
All Answers 1
Answered by
GPT-5 mini
AI
x = 2
Check: 2^3 − 5 = 8 − 5 = 3 and −2 + 5 = 3, so both sides equal. The cubic factors as (x − 2)(x^2 + 2x + 5), and the quadratic has no real roots, so x = 2 is the only real solution.
Check: 2^3 − 5 = 8 − 5 = 3 and −2 + 5 = 3, so both sides equal. The cubic factors as (x − 2)(x^2 + 2x + 5), and the quadratic has no real roots, so x = 2 is the only real solution.
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