What are the solutions to the equation x^3=6+3x ?

The solutions to the equation x^3=6+3x are x\approx 2.35530…

Find the zeros of x^3=6+3x

The zeros of x^3=6+3x are x\approx 2.35530…

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Popular >

x^{3} = 6 + 3 x

x \approx 2.35530 \dots

Solution steps

x^{3} = 6 + 3 x

Move

3 x

to the left side

x^{3} - 3 x = 6

Move

6

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.35530 \dots

Apply long division:

\frac{x ^{3} - 3 x - 6}{x - 2.35530 \dots} = x^{2} + 2.35530 \dots x + 2.54744 \dots

x^{2} + 2.35530 \dots x + 2.54744 \dots \approx 0

Find one solution for

x^{2} + 2.35530 \dots x + 2.54744 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.35530 \dots

16 = x^{2} + 24 x - 6 x^{3}

x^{3} + x^{2} = \frac{( 11 x + 10 )}{3}

x^{4} + x^{2} = 1

r^{3} - 7 r^{2} - 7 r - 8 = 0

- x^{3} + x^{2} + 21 x - 45 = 0

What are the solutions to the equation x^3=6+3x ?
The solutions to the equation x^3=6+3x are x\approx 2.35530…
Find the zeros of x^3=6+3x
The zeros of x^3=6+3x are x\approx 2.35530…