What are the solutions to the equation 2x^3+x-6=0 ?

The solutions to the equation 2x^3+x-6=0 are x\approx 1.32695…

Find the zeros of 2x^3+x-6=0

The zeros of 2x^3+x-6=0 are x\approx 1.32695…

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2 x^{3} + x - 6 = 0

x \approx 1.32695 \dots

Solution steps

2 x^{3} + x - 6 = 0

Find one solution for

2 x^{3} + x - 6 = 0

using Newton-Raphson:

x \approx 1.32695 \dots

Apply long division:

\frac{2 x ^{3} + x - 6}{x - 1.32695 \dots} = 2 x^{2} + 2.65391 \dots x + 4.52162 \dots

2 x^{2} + 2.65391 \dots x + 4.52162 \dots \approx 0

Find one solution for

2 x^{2} + 2.65391 \dots x + 4.52162 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.32695 \dots

y, 2 x y - x^{3} = 0

2 x^{3} + x - 7 = 0

x^{3} + 8 x^{2} + 16 x = 0

x, 4 x^{3} - 36 x^{2} - 84 x = 0

x^{3} - 2 x^{2} - 7 x - 4 = 0

What are the solutions to the equation 2x^3+x-6=0 ?
The solutions to the equation 2x^3+x-6=0 are x\approx 1.32695…
Find the zeros of 2x^3+x-6=0
The zeros of 2x^3+x-6=0 are x\approx 1.32695…