What are the solutions to the equation 4x^3+2x-18=0 ?

The solutions to the equation 4x^3+2x-18=0 are x\approx 1.55014…

Find the zeros of 4x^3+2x-18=0

The zeros of 4x^3+2x-18=0 are x\approx 1.55014…

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4 x^{3} + 2 x - 18 = 0

x \approx 1.55014 \dots

Solution steps

4 x^{3} + 2 x - 18 = 0

Find one solution for

4 x^{3} + 2 x - 18 = 0

using Newton-Raphson:

x \approx 1.55014 \dots

Apply long division:

\frac{4 x ^{3} + 2 x - 18}{x - 1.55014 \dots} = 4 x^{2} + 6.20058 \dots x + 11.61180 \dots

4 x^{2} + 6.20058 \dots x + 11.61180 \dots \approx 0

Find one solution for

4 x^{2} + 6.20058 \dots x + 11.61180 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.55014 \dots

y, x^{3} + y^{3} = 8

12 n^{2} + 48 n = - n^{3} - 64

x^{4} + 12 x^{3} + 54 x^{2} + 108 x + 81

131946.9 x^{3} - 2968.8 x^{1} - 164.8 = 0

4 x^{4} + 35 x^{2} - 9 = 0

What are the solutions to the equation 4x^3+2x-18=0 ?
The solutions to the equation 4x^3+2x-18=0 are x\approx 1.55014…
Find the zeros of 4x^3+2x-18=0
The zeros of 4x^3+2x-18=0 are x\approx 1.55014…