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

The solutions to the equation (x-2)^3=x^3-2x are x=1,x= 4/3

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

The zeros of (x-2)^3=x^3-2x are x=1,x= 4/3

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

x = 1, x = \frac{4}{3}

Decimal Notation

x = 1, x = 1.33333 \dots

Solution steps

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

Expand

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

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

Move

2 x

to the left side

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

Move

x^{3}

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 ( - 6 ) ( - 8 )}{2 ( - 6 )}

1 4^{2} - 4 (- 6) (- 8) = 2

x_{1, 2} = \frac{- 14 \pm 2}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 14 + 2}{2 ( - 6 )}, x_{2} = \frac{- 14 - 2}{2 ( - 6 )}

x = \frac{- 14 + 2}{2 ( - 6 )} : 1

x = \frac{- 14 - 2}{2 ( - 6 )} : \frac{4}{3}

The solutions to the quadratic equation are:

x = 1, x = \frac{4}{3}

a, a^{2} + 2 b^{2} = 2 a - 1

x^{2} - 64 x = - 3 x^{2} + 16 x

x^{2} - 19 x + 9 = 0

4 x^{2} + 3 = 103

56.5 \cdot 1000 = 1000 (9.8) (3.65) + 1000 \cdot \frac{V ^{2}}{2}

What are the solutions to the equation (x-2)^3=x^3-2x ?
The solutions to the equation (x-2)^3=x^3-2x are x=1,x= 4/3
Find the zeros of (x-2)^3=x^3-2x
The zeros of (x-2)^3=x^3-2x are x=1,x= 4/3