Math Problem Statement

Solve for xx. Express your answer in simplest radical form if necessary. x, squared, equals, 144 x 2

144

Solution

The equation given is:

x2=144x^2 = 144

To solve for xx, take the square root of both sides:

x=±144x = \pm \sqrt{144}

Since 144=12\sqrt{144} = 12, the solution is:

x=±12x = \pm 12

So the values of xx are x=12x = 12 and x=12x = -12.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What happens if the equation is x2=144x^2 = -144?
  2. How do you solve x2=169x^2 = 169?
  3. What are the square roots of non-perfect squares, like x2=50x^2 = 50?
  4. How do you solve (x+2)2=144(x + 2)^2 = 144?
  5. Can a square root ever be negative?

Tip: Always remember that solving x2=ax^2 = a results in two values, ±a\pm \sqrt{a}, unless aa is negative.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Quadratic Equations

Formulas

x^2 = a → x = ±√a

Theorems

Square Root Theorem

Suitable Grade Level

Grades 7-9