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

The solutions to the equation 2x^5-5x+2=0 are x\approx 0.40432…,x\approx 1.12689…,x\approx-1.34216…

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

The zeros of 2x^5-5x+2=0 are x\approx 0.40432…,x\approx 1.12689…,x\approx-1.34216…

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

x \approx 0.40432 \dots, x \approx 1.12689 \dots, x \approx - 1.34216 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.40432 \dots

Apply long division:

\frac{2 x ^{5} - 5 x + 2}{x - 0.40432 \dots} = 2 x^{4} + 0.80864 \dots x^{3} + 0.32695 \dots x^{2} + 0.13219 \dots x - 4.94655 \dots

2 x^{4} + 0.80864 \dots x^{3} + 0.32695 \dots x^{2} + 0.13219 \dots x - 4.94655 \dots \approx 0

Find one solution for

2 x^{4} + 0.80864 \dots x^{3} + 0.32695 \dots x^{2} + 0.13219 \dots x - 4.94655 \dots = 0

using Newton-Raphson:

x \approx 1.12689 \dots

Apply long division:

\frac{2 x ^{4} + 0.80864 \dots x ^{3} + 0.32695 \dots x ^{2} + 0.13219 \dots x - 4.94655 \dots}{x - 1.12689 \dots} = 2 x^{3} + 3.06242 \dots x^{2} + 3.77797 \dots x + 4.38955 \dots

2 x^{3} + 3.06242 \dots x^{2} + 3.77797 \dots x + 4.38955 \dots \approx 0

Find one solution for

2 x^{3} + 3.06242 \dots x^{2} + 3.77797 \dots x + 4.38955 \dots = 0

using Newton-Raphson:

x \approx - 1.34216 \dots

Apply long division:

\frac{2 x ^{3} + 3.06242 \dots x ^{2} + 3.77797 \dots x + 4.38955 \dots}{x + 1.34216 \dots} = 2 x^{2} + 0.37809 \dots x + 3.27050 \dots

2 x^{2} + 0.37809 \dots x + 3.27050 \dots \approx 0

Find one solution for

2 x^{2} + 0.37809 \dots x + 3.27050 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solutions are

x \approx 0.40432 \dots, x \approx 1.12689 \dots, x \approx - 1.34216 \dots

2 x^{4} - 32 x^{2} + 128 = 0

2 x^{3} - 5 x^{2} - 11 x - 4 = 4

7 \frac{x ^{3}}{4} = 23

5 x^{3} - 7 x^{2} + 12 x + 8 = 0

s^{3} = 0

What are the solutions to the equation 2x^5-5x+2=0 ?
The solutions to the equation 2x^5-5x+2=0 are x\approx 0.40432…,x\approx 1.12689…,x\approx-1.34216…
Find the zeros of 2x^5-5x+2=0
The zeros of 2x^5-5x+2=0 are x\approx 0.40432…,x\approx 1.12689…,x\approx-1.34216…