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

The solutions to the equation x^3-x^2+x=-5 are x\approx-1.27816…

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

The zeros of x^3-x^2+x=-5 are x\approx-1.27816…

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

x \approx - 1.27816 \dots

Solution steps

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

Move

5

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.27816 \dots

Apply long division:

\frac{x ^{3} - x ^{2} + x + 5}{x + 1.27816 \dots} = x^{2} - 2.27816 \dots x + 3.91186 \dots

x^{2} - 2.27816 \dots x + 3.91186 \dots \approx 0

Find one solution for

x^{2} - 2.27816 \dots x + 3.91186 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.27816 \dots

x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} + x = 0

- x^{3} + 446.8 x^{2} + 551 x + 257.6 = 0

y, 1 + 7 x y^{4} - 3 z^{3} = 0

70 x^{3} + 24 x^{2} - 10 x + 20 = 0

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

What are the solutions to the equation x^3-x^2+x=-5 ?
The solutions to the equation x^3-x^2+x=-5 are x\approx-1.27816…
Find the zeros of x^3-x^2+x=-5
The zeros of x^3-x^2+x=-5 are x\approx-1.27816…