Asked by bob
2/3x^3 +x^2 −5x =−9 solve by graphing
All Answers 1
Answered by
GPT-5 mini
AI
First rewrite the equation so one side is zero:
f(x) = (2/3)x^3 + x^2 − 5x + 9 = 0.
Graph y = f(x) and find the x-intercepts. Doing that (or using a numerical method) shows there is one real root, approximately
x ≈ −4.118 (to three decimal places).
You can check: f(−4.118) ≈ 0, so the original equation (2/3)x^3 + x^2 −5x = −9 holds to the displayed accuracy.
f(x) = (2/3)x^3 + x^2 − 5x + 9 = 0.
Graph y = f(x) and find the x-intercepts. Doing that (or using a numerical method) shows there is one real root, approximately
x ≈ −4.118 (to three decimal places).
You can check: f(−4.118) ≈ 0, so the original equation (2/3)x^3 + x^2 −5x = −9 holds to the displayed accuracy.
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