What are the solutions to the equation 2x^3-8x^3-8x+32=0 ?

The solutions to the equation 2x^3-8x^3-8x+32=0 are x\approx 1.49483…

Find the zeros of 2x^3-8x^3-8x+32=0

The zeros of 2x^3-8x^3-8x+32=0 are x\approx 1.49483…

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2 x^{3} - 8 x^{3} - 8 x + 32 = 0

x \approx 1.49483 \dots

Solution steps

2 x^{3} - 8 x^{3} - 8 x + 32 = 0

Refine

- 6 x^{3} - 8 x + 32 = 0

Find one solution for

- 6 x^{3} - 8 x + 32 = 0

using Newton-Raphson:

x \approx 1.49483 \dots

Apply long division:

\frac{- 6 x ^{3} - 8 x + 32}{x - 1.49483 \dots} = - 6 x^{2} - 8.96898 \dots x - 21.40710 \dots

- 6 x^{2} - 8.96898 \dots x - 21.40710 \dots \approx 0

Find one solution for

- 6 x^{2} - 8.96898 \dots x - 21.40710 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.49483 \dots

2 x^{3} = 4^{2} x

(x^{2} + 1)^{2} = x

(x^{2} + x) (x + 6 - x^{3}) = 5 x

x^{4} + x^{2} - 8 = 0

x^{3} - x = 4

What are the solutions to the equation 2x^3-8x^3-8x+32=0 ?
The solutions to the equation 2x^3-8x^3-8x+32=0 are x\approx 1.49483…
Find the zeros of 2x^3-8x^3-8x+32=0
The zeros of 2x^3-8x^3-8x+32=0 are x\approx 1.49483…