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:
To solve for , we take the square root of both sides of the equation:
Since the square root of 144 is 12, this simplifies to:
So, the solutions for are:
Would you like further details or have any questions about this solution?
Here are 5 related questions for further exploration:
- What is the square root of other perfect squares, like 81 or 196?
- How do you solve an equation like ?
- How do you handle equations where the number under the square root is not a perfect square, like ?
- What happens if the equation is ?
- How do you simplify expressions like ?
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