Question

9x^4-x^2=0 решите уровнение​

Answer 1

Ответ:

x^2*(9x^2-1)=0

x^2=0

9x^2-1=0

x=0

x=-1/3

x=1/3

x1=-1/3

x2=0

x3=1/3

Объяснение:

Answer 2

To solve the equation 9x^4 - x^2 = 0, we can factor out the common term, which is x^2:

9x^4 - x^2 = x^2(9x^2 - 1)

Now, we have a product of two terms equal to zero. According to the zero-product property, this equation is satisfied if either of the factors is equal to zero. So, we set each factor to zero and solve for x:

1. x^2 = 0 If x^2 = 0, then x = 0.

2. 9x^2 - 1 = 0 Add 1 to both sides: 9x^2 = 1

Divide both sides by 9: x^2 = 1/9

Now, take the square root of both sides (remembering to consider both positive and negative roots): x = ±√(1/9)

x = ±1/3

So, the solutions to the equation are x = 0 and x = ±1/3.