What are the solutions to the equation 2x^3+2x^2-1=0 ?

The solutions to the equation 2x^3+2x^2-1=0 are x\approx 0.56519…

Find the zeros of 2x^3+2x^2-1=0

The zeros of 2x^3+2x^2-1=0 are x\approx 0.56519…

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2 x^{3} + 2 x^{2} - 1 = 0

x \approx 0.56519 \dots

Solution steps

2 x^{3} + 2 x^{2} - 1 = 0

Find one solution for

2 x^{3} + 2 x^{2} - 1 = 0

using Newton-Raphson:

x \approx 0.56519 \dots

Apply long division:

\frac{2 x ^{3} + 2 x ^{2} - 1}{x - 0.56519 \dots} = 2 x^{2} + 3.13039 \dots x + 1.76929 \dots

2 x^{2} + 3.13039 \dots x + 1.76929 \dots \approx 0

Find one solution for

2 x^{2} + 3.13039 \dots x + 1.76929 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.56519 \dots

2 = (1 + x)^{12}

x (x^{2} - 9) = 4 (9 - x^{2})

x^{4} - x^{3} + 3 x^{2} - 9 x - 54 = 0

x^{3} + 3 x^{2} + 4 x + 2 = 0

2 x^{3} + 5 x^{2} + 32 x + 80 = 0

What are the solutions to the equation 2x^3+2x^2-1=0 ?
The solutions to the equation 2x^3+2x^2-1=0 are x\approx 0.56519…
Find the zeros of 2x^3+2x^2-1=0
The zeros of 2x^3+2x^2-1=0 are x\approx 0.56519…