Question

(х^3 + 8) * (х^6 - 3)=0

Answer 1

Відповідь:ну якщо , це рівняння виглядає так:

(3х+8)(6х-3)=0

18х²-9х+48х-24=0

18х²-39х-24=0

D=(-39)²-4×18×(-24)=3249

D= 57

x¹= 8/3

x²= -½

Пояснення:

Answer 2

The equation you provided is a polynomial equation that needs to be solved for the variable x. The equation is:

$(x^3 + 8) \cdot (x^6 - 3) = 0$

To solve for x, we can use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. In this case, we have two factors: $x^3 + 8$ and $x^6 - 3$. Setting each factor equal to zero and solving for x will give us the solutions:

1. $x^3 + 8 = 0$ Subtracting 8 from both sides: $x^3 = -8$ Taking the cube root of both sides: $x = -2$

2. $x^6 - 3 = 0$ Adding 3 to both sides: $x^6 = 3$ Taking the sixth root of both sides: $x = \sqrt[6]{3}$

So, the solutions for the equation $(x^3 + 8) \cdot (x^6 - 3) = 0$ are $x = -2$ and $x = \sqrt[6]{3}$.