What are the solutions to the equation -5x^1+8x^2+10x^3=-8 ?

The solutions to the equation -5x^1+8x^2+10x^3=-8 are x\approx-1.49346…

Find the zeros of -5x^1+8x^2+10x^3=-8

The zeros of -5x^1+8x^2+10x^3=-8 are x\approx-1.49346…

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- 5 x^{1} + 8 x^{2} + 10 x^{3} = - 8

x \approx - 1.49346 \dots

Solution steps

- 5 x^{1} + 8 x^{2} + 10 x^{3} = - 8

Refine

- 5 x + 8 x^{2} + 10 x^{3} = - 8

Move

8

to the left side

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

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.49346 \dots

Apply long division:

\frac{10 x ^{3} + 8 x ^{2} - 5 x + 8}{x + 1.49346 \dots} = 10 x^{2} - 6.93465 \dots x + 5.35666 \dots

10 x^{2} - 6.93465 \dots x + 5.35666 \dots \approx 0

Find one solution for

10 x^{2} - 6.93465 \dots x + 5.35666 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.49346 \dots

3 x^{3} - 2 = 0

x^{4} - 6 x^{2} + 8 x - 1 = 0

a, (a - b)^{3} = 0

x^{3} - 30 x^{2} + 1 5^{3} = 0

x^{3} - 7 x^{2} + 6 x + 20 = 0

What are the solutions to the equation -5x^1+8x^2+10x^3=-8 ?
The solutions to the equation -5x^1+8x^2+10x^3=-8 are x\approx-1.49346…
Find the zeros of -5x^1+8x^2+10x^3=-8
The zeros of -5x^1+8x^2+10x^3=-8 are x\approx-1.49346…