What are the solutions to the equation 2x^3-3x^2=9 ?

The solutions to the equation 2x^3-3x^2=9 are x\approx 2.32935…

Find the zeros of 2x^3-3x^2=9

The zeros of 2x^3-3x^2=9 are x\approx 2.32935…

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2 x^{3} - 3 x^{2} = 9

x \approx 2.32935 \dots

Solution steps

2 x^{3} - 3 x^{2} = 9

Move

9

to the left side

2 x^{3} - 3 x^{2} - 9 = 0

Find one solution for

2 x^{3} - 3 x^{2} - 9 = 0

using Newton-Raphson:

x \approx 2.32935 \dots

Apply long division:

\frac{2 x ^{3} - 3 x ^{2} - 9}{x - 2.32935 \dots} = 2 x^{2} + 1.65871 \dots x + 3.86372 \dots

2 x^{2} + 1.65871 \dots x + 3.86372 \dots \approx 0

Find one solution for

2 x^{2} + 1.65871 \dots x + 3.86372 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.32935 \dots

11 = - 4 x^{2} - x^{3}

n x^{5} = 25

2 y^{3} - 3 y^{2} + 2 y = 2

y^{4} - y^{3} - 3 y^{2} + 5 y^{1} - 2 y = 0

(x + 2)^{3} = (2 x)^{3}

What are the solutions to the equation 2x^3-3x^2=9 ?
The solutions to the equation 2x^3-3x^2=9 are x\approx 2.32935…
Find the zeros of 2x^3-3x^2=9
The zeros of 2x^3-3x^2=9 are x\approx 2.32935…