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

The solutions to the equation 2x^3+x^2-1=0 are x\approx 0.65729…

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

The zeros of 2x^3+x^2-1=0 are x\approx 0.65729…

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

x \approx 0.65729 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.65729 \dots

Apply long division:

\frac{2 x ^{3} + x ^{2} - 1}{x - 0.65729 \dots} = 2 x^{2} + 2.31459 \dots x + 1.52137 \dots

2 x^{2} + 2.31459 \dots x + 1.52137 \dots \approx 0

Find one solution for

2 x^{2} + 2.31459 \dots x + 1.52137 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.65729 \dots

x^{5} - 2 x^{2} = 0

4 x^{4} + 6 x^{2} - 2 = 0

x^{8} = 256

x^{3} + 8 x^{2} + 15 x = 0

x^{4} + 7 x^{2} + 6 = 0

What are the solutions to the equation 2x^3+x^2-1=0 ?
The solutions to the equation 2x^3+x^2-1=0 are x\approx 0.65729…
Find the zeros of 2x^3+x^2-1=0
The zeros of 2x^3+x^2-1=0 are x\approx 0.65729…