What are the solutions to the equation x^3-x=6 ?

The solutions to the equation x^3-x=6 are x=2,x=-1+sqrt(2)i,x=-1-sqrt(2)i

Find the zeros of x^3-x=6

The zeros of x^3-x=6 are x=2,x=-1+sqrt(2)i,x=-1-sqrt(2)i

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x^{3} - x = 6

x = 2, x = - 1 + 2 i, x = - 1 - 2 i

Solution steps

x^{3} - x = 6

Move

6

to the left side

x^{3} - x - 6 = 0

Factor

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

(x - 2) (x^{2} + 2 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

x^{2} + 2 x + 3 = 0 : x = - 1 + 2 i, x = - 1 - 2 i

The solutions are

x = 2, x = - 1 + 2 i, x = - 1 - 2 i

x + 1. 5^{2} + 9 x^{4} = 0

x^{5} = 125

6000 = 4800 (1 + \frac{R}{100})^{4}

x^{5} = 16 x

x^{3} = 14

What are the solutions to the equation x^3-x=6 ?
The solutions to the equation x^3-x=6 are x=2,x=-1+sqrt(2)i,x=-1-sqrt(2)i
Find the zeros of x^3-x=6
The zeros of x^3-x=6 are x=2,x=-1+sqrt(2)i,x=-1-sqrt(2)i