What are the solutions to the equation x^4-3x^2-2x-59=0 ?

The solutions to the equation x^4-3x^2-2x-59=0 are x\approx-2.98906…,x\approx 3.11686…

Find the zeros of x^4-3x^2-2x-59=0

The zeros of x^4-3x^2-2x-59=0 are x\approx-2.98906…,x\approx 3.11686…

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x^{4} - 3 x^{2} - 2 x - 59 = 0

x \approx - 2.98906 \dots, x \approx 3.11686 \dots

Solution steps

x^{4} - 3 x^{2} - 2 x - 59 = 0

Find one solution for

x^{4} - 3 x^{2} - 2 x - 59 = 0

using Newton-Raphson:

x \approx - 2.98906 \dots

Apply long division:

\frac{x ^{4} - 3 x ^{2} - 2 x - 59}{x + 2.98906 \dots} = x^{3} - 2.98906 \dots x^{2} + 5.93450 \dots x - 19.73861 \dots

x^{3} - 2.98906 \dots x^{2} + 5.93450 \dots x - 19.73861 \dots \approx 0

Find one solution for

x^{3} - 2.98906 \dots x^{2} + 5.93450 \dots x - 19.73861 \dots = 0

using Newton-Raphson:

x \approx 3.11686 \dots

Apply long division:

\frac{x ^{3} - 2.98906 \dots x ^{2} + 5.93450 \dots x - 19.73861 \dots}{x - 3.11686 \dots} = x^{2} + 0.12780 \dots x + 6.33284 \dots

x^{2} + 0.12780 \dots x + 6.33284 \dots \approx 0

Find one solution for

x^{2} + 0.12780 \dots x + 6.33284 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 2.98906 \dots, x \approx 3.11686 \dots

c^{11} = - 1 - \frac{c}{2}

3 x^{6} + x^{3} (2 x^{3} - 1) = 4

(r^{2} + 2 r + 10) 3 r (r + 1) 2 = 0

2 x^{5} - x^{3} + 2 x^{2} - 1 = 0

5 x^{3} - 5 x = 0

What are the solutions to the equation x^4-3x^2-2x-59=0 ?
The solutions to the equation x^4-3x^2-2x-59=0 are x\approx-2.98906…,x\approx 3.11686…
Find the zeros of x^4-3x^2-2x-59=0
The zeros of x^4-3x^2-2x-59=0 are x\approx-2.98906…,x\approx 3.11686…