What are the solutions to the equation (x+2)^3=2*x*(x^2-1) ?

The solutions to the equation (x+2)^3=2*x*(x^2-1) are x\approx 7.90026…

Find the zeros of (x+2)^3=2*x*(x^2-1)

The zeros of (x+2)^3=2*x*(x^2-1) are x\approx 7.90026…

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

x \approx 7.90026 \dots

Solution steps

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

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

Expand

2 x (x^{2} - 1) : 2 x^{3} - 2 x

x^{3} + 6 x^{2} + 12 x + 8 = 2 x^{3} - 2 x

Move

2 x

to the left side

x^{3} + 6 x^{2} + 14 x + 8 = 2 x^{3}

Move

2 x^{3}

to the left side

- x^{3} + 6 x^{2} + 14 x + 8 = 0

Find one solution for

- x^{3} + 6 x^{2} + 14 x + 8 = 0

using Newton-Raphson:

No Solution for

x \in R

x \approx 7.90026 \dots

The solution is

x \approx 7.90026 \dots

x^{3} = 7

15 t^{3} - 70 t^{2} + 40 t = 0

28 a^{12} = 56 a^{15}

\frac{x ^{13}}{3 ^{7}} = 3^{6}

x^{3} + 9 x^{2} + 18 x = 2168

What are the solutions to the equation (x+2)^3=2*x*(x^2-1) ?
The solutions to the equation (x+2)^3=2*x*(x^2-1) are x\approx 7.90026…
Find the zeros of (x+2)^3=2*x*(x^2-1)
The zeros of (x+2)^3=2*x*(x^2-1) are x\approx 7.90026…