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, we take the square root of both sides of the equation:

x=±144x = \pm \sqrt{144}

Since the square root of 144 is 12, this simplifies to:

x=±12x = \pm 12

So, the solutions for xx are:

x=12andx=12x = 12 \quad \text{and} \quad x = -12

Would you like further details or have any questions about this solution?

Here are 5 related questions for further exploration:

  1. What is the square root of other perfect squares, like 81 or 196?
  2. How do you solve an equation like x2=49x^2 = 49?
  3. How do you handle equations where the number under the square root is not a perfect square, like x2=50x^2 = 50?
  4. What happens if the equation is x2=144x^2 = -144?
  5. How do you simplify expressions like 72\sqrt{72}?

Tip: Remember that taking the square root of a positive number yields both a positive and a negative solution.

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Quadratic Equations

Formulas

x^2 = 144
Square root: x = ±√144

Theorems

Square Root Theorem
Properties of Quadratic Equations

Suitable Grade Level

Grades 6-8