What are the solutions to the equation 10x^4+8x^3-4x-2=0 ?

The solutions to the equation 10x^4+8x^3-4x-2=0 are x\approx-0.60788…,x\approx 0.68334…

Find the zeros of 10x^4+8x^3-4x-2=0

The zeros of 10x^4+8x^3-4x-2=0 are x\approx-0.60788…,x\approx 0.68334…

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10 x^{4} + 8 x^{3} - 4 x - 2 = 0

x \approx - 0.60788 \dots, x \approx 0.68334 \dots

Solution steps

10 x^{4} + 8 x^{3} - 4 x - 2 = 0

Find one solution for

10 x^{4} + 8 x^{3} - 4 x - 2 = 0

using Newton-Raphson:

x \approx - 0.60788 \dots

Apply long division:

\frac{10 x ^{4} + 8 x ^{3} - 4 x - 2}{x + 0.60788 \dots} = 10 x^{3} + 1.92113 \dots x^{2} - 1.16783 \dots x - 3.29009 \dots

10 x^{3} + 1.92113 \dots x^{2} - 1.16783 \dots x - 3.29009 \dots \approx 0

Find one solution for

10 x^{3} + 1.92113 \dots x^{2} - 1.16783 \dots x - 3.29009 \dots = 0

using Newton-Raphson:

x \approx 0.68334 \dots

Apply long division:

\frac{10 x ^{3} + 1.92113 \dots x ^{2} - 1.16783 \dots x - 3.29009 \dots}{x - 0.68334 \dots} = 10 x^{2} + 8.75463 \dots x + 4.81464 \dots

10 x^{2} + 8.75463 \dots x + 4.81464 \dots \approx 0

Find one solution for

10 x^{2} + 8.75463 \dots x + 4.81464 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx - 0.60788 \dots, x \approx 0.68334 \dots

64 = w^{3}

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

x^{6} + x^{4} - 10 x + 8 = 0

3 y^{3} - 23 y^{2} - 8 y = 0

x, x^{4} + y^{4} = 17

What are the solutions to the equation 10x^4+8x^3-4x-2=0 ?
The solutions to the equation 10x^4+8x^3-4x-2=0 are x\approx-0.60788…,x\approx 0.68334…
Find the zeros of 10x^4+8x^3-4x-2=0
The zeros of 10x^4+8x^3-4x-2=0 are x\approx-0.60788…,x\approx 0.68334…