What are the solutions to the equation (x)=2x^3-1500 ?

The solutions to the equation (x)=2x^3-1500 are x\approx 9.10394…

Find the zeros of (x)=2x^3-1500

The zeros of (x)=2x^3-1500 are x\approx 9.10394…

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(x) = 2 x^{3} - 1500

x \approx 9.10394 \dots

Solution steps

(x) = 2 x^{3} - 1500

Refine

x = 2 x^{3} - 1500

Switch sides

2 x^{3} - 1500 = x

Move

x

to the left side

2 x^{3} - 1500 - x = 0

Write in the standard form

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

2 x^{3} - x - 1500 = 0

Find one solution for

2 x^{3} - x - 1500 = 0

using Newton-Raphson:

x \approx 9.10394 \dots

Apply long division:

\frac{2 x ^{3} - x - 1500}{x - 9.10394 \dots} = 2 x^{2} + 18.20789 \dots x + 164.76370 \dots

2 x^{2} + 18.20789 \dots x + 164.76370 \dots \approx 0

Find one solution for

2 x^{2} + 18.20789 \dots x + 164.76370 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 9.10394 \dots

x^{4} - (x - 0.5)^{4} = 1 0^{4}

0 = x^{3} - x + 3

x^{10} = 1024

x, y^{3} + 7 y = x^{3}

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

What are the solutions to the equation (x)=2x^3-1500 ?
The solutions to the equation (x)=2x^3-1500 are x\approx 9.10394…
Find the zeros of (x)=2x^3-1500
The zeros of (x)=2x^3-1500 are x\approx 9.10394…