What are the solutions to the equation x^4-2x-8=0 ?

The solutions to the equation x^4-2x-8=0 are x\approx-1.49595…,x\approx 1.84942…

Find the zeros of x^4-2x-8=0

The zeros of x^4-2x-8=0 are x\approx-1.49595…,x\approx 1.84942…

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

x \approx - 1.49595 \dots, x \approx 1.84942 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.49595 \dots

Apply long division:

\frac{x ^{4} - 2 x - 8}{x + 1.49595 \dots} = x^{3} - 1.49595 \dots x^{2} + 2.23787 \dots x - 5.34775 \dots

x^{3} - 1.49595 \dots x^{2} + 2.23787 \dots x - 5.34775 \dots \approx 0

Find one solution for

x^{3} - 1.49595 \dots x^{2} + 2.23787 \dots x - 5.34775 \dots = 0

using Newton-Raphson:

x \approx 1.84942 \dots

Apply long division:

\frac{x ^{3} - 1.49595 \dots x ^{2} + 2.23787 \dots x - 5.34775 \dots}{x - 1.84942 \dots} = x^{2} + 0.35346 \dots x + 2.89158 \dots

x^{2} + 0.35346 \dots x + 2.89158 \dots \approx 0

Find one solution for

x^{2} + 0.35346 \dots x + 2.89158 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 1.49595 \dots, x \approx 1.84942 \dots

12 (x + 4) = x^{3}

x^{3} + 3 x^{2} - 3 x + 1 = 0

245 = 5 x^{3}

x^{3} - 30 x^{2} - 625 x - 3300 = 0

x^{2} \cdot (x + 1)^{2} = 25

What are the solutions to the equation x^4-2x-8=0 ?
The solutions to the equation x^4-2x-8=0 are x\approx-1.49595…,x\approx 1.84942…
Find the zeros of x^4-2x-8=0
The zeros of x^4-2x-8=0 are x\approx-1.49595…,x\approx 1.84942…