What are the solutions to the equation x^3-2x-2=1.5 ?

The solutions to the equation x^3-2x-2=1.5 are x\approx 1.94841…

Find the zeros of x^3-2x-2=1.5

The zeros of x^3-2x-2=1.5 are x\approx 1.94841…

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x^{3} - 2 x - 2 = 1.5

x \approx 1.94841 \dots

Solution steps

x^{3} - 2 x - 2 = 1.5

Multiply both sides by

10

10 x^{3} - 20 x - 20 = 15

Move

15

to the left side

10 x^{3} - 20 x - 35 = 0

Find one solution for

10 x^{3} - 20 x - 35 = 0

using Newton-Raphson:

x \approx 1.94841 \dots

Apply long division:

\frac{10 x ^{3} - 20 x - 35}{x - 1.94841 \dots} = 10 x^{2} + 19.48417 \dots x + 17.96329 \dots

10 x^{2} + 19.48417 \dots x + 17.96329 \dots \approx 0

Find one solution for

10 x^{2} + 19.48417 \dots x + 17.96329 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.94841 \dots

2 x^{3} + 3 x^{2} + 8 x + 12 = 0

x^{3} - 8 x^{2} + 12 x - 4 = 0

c^{3} = 46

z^{3} = (- 53 + 5 i)^{3}

2 x^{3} - 2 x^{2} - 16 x = 2 x^{2}

What are the solutions to the equation x^3-2x-2=1.5 ?
The solutions to the equation x^3-2x-2=1.5 are x\approx 1.94841…
Find the zeros of x^3-2x-2=1.5
The zeros of x^3-2x-2=1.5 are x\approx 1.94841…