Question

Х^6-1=0 помогите пожалуйста

Answer 1

X^6 - 1 = 0
x^6 = 1
x = 1; x = -1.

Answer 2

Solving the Equation: *x^6 - 1 = 0*

To solve the equation *x^6 - 1 = 0*, we can use the concept of a difference of squares. The equation can be rewritten as *(x^3)^2 - 1^2 = 0*. This can then be factored into *(x^3 - 1)(x^3 + 1) = 0*.

This gives us two separate equations to solve: 1. *x^3 - 1 = 0* 2. *x^3 + 1 = 0*

Let's solve each equation separately.

Solving *x^3 - 1 = 0*

To solve *x^3 - 1 = 0*, we can add 1 to both sides of the equation to get *x^3 = 1*. Then, taking the cube root of both sides, we get *x = 1*.

Solving *x^3 + 1 = 0*

To solve *x^3 + 1 = 0*, we can subtract 1 from both sides of the equation to get *x^3 = -1*. Then, taking the cube root of both sides, we get *x = -1*.

Therefore, the solutions to the equation *x^6 - 1 = 0* are x = 1 and x = -1.

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