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

The solutions to the equation -8+3X^3+2X=0 are X\approx 1.22726…

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

The zeros of -8+3X^3+2X=0 are X\approx 1.22726…

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- 8 + 3 X^{3} + 2 X = 0

X \approx 1.22726 \dots

Solution steps

- 8 + 3 X^{3} + 2 X = 0

Write in the standard form

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

3 X^{3} + 2 X - 8 = 0

Find one solution for

3 X^{3} + 2 X - 8 = 0

using Newton-Raphson:

X \approx 1.22726 \dots

Apply long division:

\frac{3 X ^{3} + 2 X - 8}{X - 1.22726 \dots} = 3 X^{2} + 3.68180 \dots X + 6.51855 \dots

3 X^{2} + 3.68180 \dots X + 6.51855 \dots \approx 0

Find one solution for

3 X^{2} + 3.68180 \dots X + 6.51855 \dots = 0

using Newton-Raphson:

No Solution for

X \in R

The solution is

X \approx 1.22726 \dots

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

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

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

x^{4} - 7 x^{3} + 17 x^{2} - 17 x + 6 = 0

3 x^{3} - x^{2} - 12 x + 4 = 0

What are the solutions to the equation -8+3X^3+2X=0 ?
The solutions to the equation -8+3X^3+2X=0 are X\approx 1.22726…
Find the zeros of -8+3X^3+2X=0
The zeros of -8+3X^3+2X=0 are X\approx 1.22726…