Question

10х^4-250х^2=0 chjxyjjjj

Answer 1

10х^4-250х^2=0
10x^2(x^2-25)=0

10x^2=0   или (x^2-25)=0
х=0    или х=5 х=-5

Answer 2

To solve the equation 10x^4 - 250x^2 = 0, we can factor out a common term of 10x^2 from both terms on the left-hand side:

10x^2(x^2 - 25) = 0

We can then apply 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 zero:

10x^2 = 0 or x^2 - 25 = 0

Solving for x in the first equation, we get:

10x^2 = 0 x^2 = 0 x = 0

Solving for x in the second equation, we get:

x^2 - 25 = 0 (x + 5)(x - 5) = 0 x = 5 or x = -5

Therefore, the solutions to the equation 10x^4 - 250x^2 = 0 are x = 0, x = 5, and x = -5.