What are the solutions to the equation x^4-2x^3+5x-2=0 ?

The solutions to the equation x^4-2x^3+5x-2=0 are x\approx 0.42403…,x\approx-1.38100…

Find the zeros of x^4-2x^3+5x-2=0

The zeros of x^4-2x^3+5x-2=0 are x\approx 0.42403…,x\approx-1.38100…

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

x \approx 0.42403 \dots, x \approx - 1.38100 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.42403 \dots

Apply long division:

\frac{x ^{4} - 2 x ^{3} + 5 x - 2}{x - 0.42403 \dots} = x^{3} - 1.57596 \dots x^{2} - 0.66825 \dots x + 4.71663 \dots

x^{3} - 1.57596 \dots x^{2} - 0.66825 \dots x + 4.71663 \dots \approx 0

Find one solution for

x^{3} - 1.57596 \dots x^{2} - 0.66825 \dots x + 4.71663 \dots = 0

using Newton-Raphson:

x \approx - 1.38100 \dots

Apply long division:

\frac{x ^{3} - 1.57596 \dots x ^{2} - 0.66825 \dots x + 4.71663 \dots}{x + 1.38100 \dots} = x^{2} - 2.95697 \dots x + 3.41535 \dots

x^{2} - 2.95697 \dots x + 3.41535 \dots \approx 0

Find one solution for

x^{2} - 2.95697 \dots x + 3.41535 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.42403 \dots, x \approx - 1.38100 \dots

66 = 8 m^{3}

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

a^{4} = 16

9 x^{4} + 16 = 25 x^{2}

4.5 = \frac{4}{3} π r^{3}

What are the solutions to the equation x^4-2x^3+5x-2=0 ?
The solutions to the equation x^4-2x^3+5x-2=0 are x\approx 0.42403…,x\approx-1.38100…
Find the zeros of x^4-2x^3+5x-2=0
The zeros of x^4-2x^3+5x-2=0 are x\approx 0.42403…,x\approx-1.38100…