What are the solutions to the equation 2x^3+0x^2+7x-8=0 ?

The solutions to the equation 2x^3+0x^2+7x-8=0 are x\approx 0.92021…

Find the zeros of 2x^3+0x^2+7x-8=0

The zeros of 2x^3+0x^2+7x-8=0 are x\approx 0.92021…

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

x \approx 0.92021 \dots

Solution steps

2 x^{3} + 0 \cdot x^{2} + 7 x - 8 = 0

Refine

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.92021 \dots

Apply long division:

\frac{2 x ^{3} + 7 x - 8}{x - 0.92021 \dots} = 2 x^{2} + 1.84043 \dots x + 8.69359 \dots

2 x^{2} + 1.84043 \dots x + 8.69359 \dots \approx 0

Find one solution for

2 x^{2} + 1.84043 \dots x + 8.69359 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.92021 \dots

a^{4} - 10 a^{2} = - 21

a^{3} = - 8

x^{3} + 5 = 26

(x - 3) (x + 5) (x - 7) (x + 1) = 0

y^{4} y + 1 = 13

What are the solutions to the equation 2x^3+0x^2+7x-8=0 ?
The solutions to the equation 2x^3+0x^2+7x-8=0 are x\approx 0.92021…
Find the zeros of 2x^3+0x^2+7x-8=0
The zeros of 2x^3+0x^2+7x-8=0 are x\approx 0.92021…