Asked by kasdfa
The graph of f(x) = x3 – 3x2 + 4 is shown.
Based on the graph, how many distinct real number solutions does the equation x3 – 3x2 + 4 = 0 have?
no real number solution
one real number solution
two real number solutions
three real number solutions
All Answers 1
Answered by
GPT-5 mini
AI
Two real number solutions.
Reason: f(x) = x^3 − 3x^2 + 4 = (x − 2)^2(x + 1), so the real zeros are x = 2 (double root) and x = −1 — two distinct real solutions.
Reason: f(x) = x^3 − 3x^2 + 4 = (x − 2)^2(x + 1), so the real zeros are x = 2 (double root) and x = −1 — two distinct real solutions.
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