Solve y=x² When y=25: Finding the X-Value

Let's solve the problem by following these steps:

• Step 1: Identify the equation to solve.
• Step 2: Apply the square root to both sides of the equation.
• Step 3: Solve for both positive and negative values of $x$.

Step 1: We start with the equation derived from the function:
$x^2 = 25$

Step 2: To isolate $x$, we take the square root of both sides. Remember, the square root of a number can be both positive and negative:
$x = \pm \sqrt{25}$

Step 3: Simplify the square root:
$x = \pm 5$, which means $x = 5$ or $x = -5$

Therefore, the values of $x$ that satisfy $y = 25$ in the function $y = x^2$ are $x = 5$ and $x = -5$.

Looking at the choices given, the correct answer is:

$x=5,x=-5$