What are the solutions to the equation (5)x^3+x-2=0 ?

The solutions to the equation (5)x^3+x-2=0 are x\approx 0.64683…

Find the zeros of (5)x^3+x-2=0

The zeros of (5)x^3+x-2=0 are x\approx 0.64683…

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(5) x^{3} + x - 2 = 0

x \approx 0.64683 \dots

Solution steps

(5) x^{3} + x - 2 = 0

Refine

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.64683 \dots

Apply long division:

\frac{5 x ^{3} + x - 2}{x - 0.64683 \dots} = 5 x^{2} + 3.23417 \dots x + 3.09197 \dots

5 x^{2} + 3.23417 \dots x + 3.09197 \dots \approx 0

Find one solution for

5 x^{2} + 3.23417 \dots x + 3.09197 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.64683 \dots

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

x^{2} (x + 1) - x (x + 1) + x (x - 1) = 0

x^{3} = x + 12

x^{3} - 6 x^{2} - 36 x + 40 = 0

x^{3} = 6 + 3 x

What are the solutions to the equation (5)x^3+x-2=0 ?
The solutions to the equation (5)x^3+x-2=0 are x\approx 0.64683…
Find the zeros of (5)x^3+x-2=0
The zeros of (5)x^3+x-2=0 are x\approx 0.64683…