What are the solutions to the equation 2x^3-8x+15x=18 ?

The solutions to the equation 2x^3-8x+15x=18 are x\approx 1.53601…

Find the zeros of 2x^3-8x+15x=18

The zeros of 2x^3-8x+15x=18 are x\approx 1.53601…

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2 x^{3} - 8 x + 15 x = 18

x \approx 1.53601 \dots

Solution steps

2 x^{3} - 8 x + 15 x = 18

Refine

2 x^{3} + 7 x = 18

Move

18

to the left side

2 x^{3} + 7 x - 18 = 0

Find one solution for

2 x^{3} + 7 x - 18 = 0

using Newton-Raphson:

x \approx 1.53601 \dots

Apply long division:

\frac{2 x ^{3} + 7 x - 18}{x - 1.53601 \dots} = 2 x^{2} + 3.07202 \dots x + 11.71866 \dots

2 x^{2} + 3.07202 \dots x + 11.71866 \dots \approx 0

Find one solution for

2 x^{2} + 3.07202 \dots x + 11.71866 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.53601 \dots

x^{5} - 3 x^{2} + 4

x^{3} - 9 x^{2} + 8 x + 60 = 0

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

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

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

What are the solutions to the equation 2x^3-8x+15x=18 ?
The solutions to the equation 2x^3-8x+15x=18 are x\approx 1.53601…
Find the zeros of 2x^3-8x+15x=18
The zeros of 2x^3-8x+15x=18 are x\approx 1.53601…