What are the solutions to the equation 4x^3=36-x ?

The solutions to the equation 4x^3=36-x are x\approx 2.04002…

Find the zeros of 4x^3=36-x

The zeros of 4x^3=36-x are x\approx 2.04002…

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4 x^{3} = 36 - x

x \approx 2.04002 \dots

Solution steps

4 x^{3} = 36 - x

Move

x

to the left side

4 x^{3} + x = 36

Move

36

to the left side

4 x^{3} + x - 36 = 0

Find one solution for

4 x^{3} + x - 36 = 0

using Newton-Raphson:

x \approx 2.04002 \dots

Apply long division:

\frac{4 x ^{3} + x - 36}{x - 2.04002 \dots} = 4 x^{2} + 8.16010 \dots x + 17.64683 \dots

4 x^{2} + 8.16010 \dots x + 17.64683 \dots \approx 0

Find one solution for

4 x^{2} + 8.16010 \dots x + 17.64683 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.04002 \dots

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

2 x^{3} + 1 = 55

2 x (x - 8) (3 x - 2) = 0

x^{4} + 5 x^{3} + 5 x^{2} + 5 x + 2 = 0

(x - 1)^{3} + (x - 1)^{2} = 0

What are the solutions to the equation 4x^3=36-x ?
The solutions to the equation 4x^3=36-x are x\approx 2.04002…
Find the zeros of 4x^3=36-x
The zeros of 4x^3=36-x are x\approx 2.04002…