X⁴=625x²

1 answer

To solve for x, we can simplify the equation by factoring it.

X⁴ - 625x² = 0

We notice that both terms have a common factor of x²:

x²(x² - 625) = 0

Now we can solve for x²:

x² = 0 or x² = 625

If x² = 0, then x = 0.

If x² = 625, then x = ±25.

Therefore, the solutions for the equation X⁴ = 625x² are x = 0 or x = ±25.