What are the solutions to the equation x^3-2x+1x=-2,1.5 ?

The solutions to the equation x^3-2x+1x=-2,1.5 are x\approx-1.52137…

Find the zeros of x^3-2x+1x=-2,1.5

The zeros of x^3-2x+1x=-2,1.5 are x\approx-1.52137…

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x^{3} - 2 x + 1 x = - 2, 1.5

x \approx - 1.52137 \dots

Solution steps

x^{3} - 2 x + 1 \cdot x = - 2

Refine

x^{3} - x = - 2

Move

2

to the left side

x^{3} - x + 2 = 0

Find one solution for

x^{3} - x + 2 = 0

using Newton-Raphson:

x \approx - 1.52137 \dots

Apply long division:

\frac{x ^{3} - x + 2}{x + 1.52137 \dots} = x^{2} - 1.52137 \dots x + 1.31459 \dots

x^{2} - 1.52137 \dots x + 1.31459 \dots \approx 0

Find one solution for

x^{2} - 1.52137 \dots x + 1.31459 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.52137 \dots

2 x^{4} - 5 x^{2} + 1 = 0

(x + 2)^{4} - 81 = 0

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

4 x^{3} - 9 x^{2} + 2 x = 0

5 y^{3} + 2 y^{2} - 45 y - 18 = 0

What are the solutions to the equation x^3-2x+1x=-2,1.5 ?
The solutions to the equation x^3-2x+1x=-2,1.5 are x\approx-1.52137…
Find the zeros of x^3-2x+1x=-2,1.5
The zeros of x^3-2x+1x=-2,1.5 are x\approx-1.52137…