Find the solutions of the equation. (Enter your answers as a comma-separated list.)
x^4 = 625
x^4=625
To get x by itself you have to find the 4th root of 625. If you put this in a calculator in will give you 5.
So your answer will be +5,-5
You have the put both the negative and positive 5 because the exponent is an even number
To find the solutions of the equation x^4 = 625, we need to get x by itself on one side of the equation.
First, take the square root of both sides to eliminate the exponent of 4:
√(x^4) = √625
This simplifies to:
x^2 = 25
Next, take the square root of both sides again to solve for x:
√(x^2) = √25
x = ±5
Therefore, the solutions of the equation x^4 = 625 are x = -5 and x = 5.