Question

quadratic and polynomial functions
solving an equation of the form ( x^2 = a ) using the square root property
solve ( x^2 = 25 ), where ( x ) is a real number.
simplify your answer as much as possible.
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
( x = square )

Explanation:

Step1: Apply square root property

To solve \(x^{2}=25\), we take the square root of both sides. The square root property states that if \(x^{2}=a\) (where \(a\geq0\) for real solutions), then \(x = \pm\sqrt{a}\).
So, for \(x^{2}=25\), we have \(x=\pm\sqrt{25}\).

Step2: Simplify the square root

We know that \(\sqrt{25} = 5\), so substituting this in, we get \(x=\pm5\), which means \(x = 5\) or \(x=- 5\).

Answer:

\(5, -5\)