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If (x^2=144) then what is the positive value of (x)?

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Answer and explanation

Correct answer: 12

Since \(12^2=144\), the solutions of \(x^2=144\) are \(x=12\) and \(x=-12\). The question asks for the positive value, so the answer is \(12\). Since \(14^2=196\), 14 is not correct. Exam tip: For \(x^2=a\), the solutions are usually \(\pm\sqrt{a}\); for the positive value, take only \(\sqrt{a}\).

Related tags

Number SystemsExponentsSquare RootsPerfect SquaresQuadratic Equations

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

Since \(12^2=144\), the solutions of \(x^2=144\) are \(x=12\) and \(x=-12\). The question asks for the positive value, so the answer is \(12\). Since \(14^2=196\), 14 is not correct. Exam tip: For \(x^2=a\), the solutions are usually \(\pm\sqrt{a}\); for the positive value, take only \(\sqrt{a}\).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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