Solve for x. x^2 = 25 Write your answer in simplified, rationalized form. x = ____ or x = ____

Understanding the equation: Understand the equation. The equation x^2 = 25 means that we are looking for a number x that when squared (multiplied by itself) equals 25.Taking the square root: Take the square root of both sides of the equation. To solve for x, we need to take the square root of both sides of the equation. This will give us two possible solutions because both a positive and a negative number squared will give a positive result. √(x^2) = √25Solving for the positive value of x: Solve for the positive value of x. The positive square root of 25 is 5, so one solution is: x = 5Solving for the negative value of x: Solve for the negative value of x. The negative square root of 25 is -5, so the other solution is: x = -5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for x. $\newline$ $x^2 = 25$ $\newline$ Write your answer in simplified, rationalized form. $\newline$ $x =$ _ or $x =$ _

View step-by-step help

Home

Math Problems

Grade 8

Cube roots of positive and negative perfect cubes

Full solution

Q. Solve for x.

\newline

x^2 = 25

\newline

Write your answer in simplified, rationalized form.

\newline

x =

_____ or

x =

_____

Understanding the equation: Understand the equation. $\newline$ The equation $x^2 = 25$ means that we are looking for a number $x$ that when squared (multiplied by itself) equals $25$ .
Taking the square root: Take the square root of both sides of the equation. $\newline$ To solve for $x$ , we need to take the square root of both sides of the equation. This will give us two possible solutions because both a positive and a negative number squared will give a positive result. $\newline$ $\sqrt{x^2} = \sqrt{25}$
Solving for the positive value of x: Solve for the positive value of x. $\newline$ The positive square root of $25$ is $5$ , so one solution is: $\newline$ $x = 5$
Solving for the negative value of $x$ : Solve for the negative value of $x$ . $\newline$ The negative square root of $25$ is $-5$ , so the other solution is: $\newline$ $x = -5$