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

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

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

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

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x - 4 = - 2 x^{3}

x \approx 1.12817 \dots

Solution steps

x - 4 = - 2 x^{3}

Switch sides

- 2 x^{3} = x - 4

Move

4

to the left side

- 2 x^{3} + 4 = x

Move

x

to the left side

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 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

4 x^{3} - 3 x^{2} + 4 x + 11 = 0

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

(4 x)^{3} = 4^{3^{3}}

x^{3} + 4 x = 6

x^{3} = 216

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