What are the solutions to the equation 2x^3+6x=1 ?

The solutions to the equation 2x^3+6x=1 are x\approx 0.16516…

Find the zeros of 2x^3+6x=1

The zeros of 2x^3+6x=1 are x\approx 0.16516…

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2 x^{3} + 6 x = 1

x \approx 0.16516 \dots

Solution steps

2 x^{3} + 6 x = 1

Move

1

to the left side

2 x^{3} + 6 x - 1 = 0

Find one solution for

2 x^{3} + 6 x - 1 = 0

using Newton-Raphson:

x \approx 0.16516 \dots

Apply long division:

\frac{2 x ^{3} + 6 x - 1}{x - 0.16516 \dots} = 2 x^{2} + 0.33032 \dots x + 6.05455 \dots

2 x^{2} + 0.33032 \dots x + 6.05455 \dots \approx 0

Find one solution for

2 x^{2} + 0.33032 \dots x + 6.05455 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.16516 \dots

v^{3} + 1 = 0

- 2 x^{3} - 3 x^{2} - 15 x + 11 = 0

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

x^{4} + 6 x^{3} + 11 x^{2} + 6 x = 212520

x (x - 2) (3 x - 1) = 0

What are the solutions to the equation 2x^3+6x=1 ?
The solutions to the equation 2x^3+6x=1 are x\approx 0.16516…
Find the zeros of 2x^3+6x=1
The zeros of 2x^3+6x=1 are x\approx 0.16516…