What are the solutions to the equation 2x^1+6x^2-2x^3=-5 ?

The solutions to the equation 2x^1+6x^2-2x^3=-5 are x\approx 3.49148…

Find the zeros of 2x^1+6x^2-2x^3=-5

The zeros of 2x^1+6x^2-2x^3=-5 are x\approx 3.49148…

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2 x^{1} + 6 x^{2} - 2 x^{3} = - 5

x \approx 3.49148 \dots

Solution steps

2 x^{1} + 6 x^{2} - 2 x^{3} = - 5

Refine

2 x + 6 x^{2} - 2 x^{3} = - 5

Move

5

to the left side

2 x + 6 x^{2} - 2 x^{3} + 5 = 0

Write in the standard form

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

- 2 x^{3} + 6 x^{2} + 2 x + 5 = 0

Find one solution for

- 2 x^{3} + 6 x^{2} + 2 x + 5 = 0

using Newton-Raphson:

x \approx 3.49148 \dots

Apply long division:

\frac{- 2 x ^{3} + 6 x ^{2} + 2 x + 5}{x - 3.49148 \dots} = - 2 x^{2} - 0.98297 \dots x - 1.43205 \dots

- 2 x^{2} - 0.98297 \dots x - 1.43205 \dots \approx 0

Find one solution for

- 2 x^{2} - 0.98297 \dots x - 1.43205 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.49148 \dots

N, b a^{2} + 3 = N^{3}

x^{4} + 4 x^{2} + 4 = 0

3 x^{3} - 12 x + 2 = 0

75 x - 25 = 3 x^{3} - x^{2}

2 x^{3} - x^{2} - 13 x - 6 = 0

What are the solutions to the equation 2x^1+6x^2-2x^3=-5 ?
The solutions to the equation 2x^1+6x^2-2x^3=-5 are x\approx 3.49148…
Find the zeros of 2x^1+6x^2-2x^3=-5
The zeros of 2x^1+6x^2-2x^3=-5 are x\approx 3.49148…