What are the solutions to the equation 2x^3+x=4 ?

The solutions to the equation 2x^3+x=4 are x\approx 1.12817…

Find the zeros of 2x^3+x=4

The zeros of 2x^3+x=4 are x\approx 1.12817…

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2 x^{3} + x = 4

x \approx 1.12817 \dots

Solution steps

2 x^{3} + x = 4

Move

4

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.12817 \dots

Apply long division:

\frac{2 x ^{3} + x - 4}{x - 1.12817 \dots} = 2 x^{2} + 2.25634 \dots x + 3.54555 \dots

2 x^{2} + 2.25634 \dots x + 3.54555 \dots \approx 0

Find one solution for

2 x^{2} + 2.25634 \dots x + 3.54555 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.12817 \dots

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

x^{3} + 6 x^{2} - 13 x - 78 = 0

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

x^{4} + 10 x^{2} - 9 = 0

16 x = x^{4}

What are the solutions to the equation 2x^3+x=4 ?
The solutions to the equation 2x^3+x=4 are x\approx 1.12817…
Find the zeros of 2x^3+x=4
The zeros of 2x^3+x=4 are x\approx 1.12817…