Using the square root method, find the solutions of the equation \(x^2=64\).
Answer and explanation
Correct answer: \(x=\pm 8\)
Taking the square root gives \(x=\pm\sqrt{64}=\pm 8\), so the two solutions are \(x=8\) and \(x=-8\). Writing only \(x=8\) or only \(x=-8\) is incomplete because both numbers have square 64. In exams, remember to include the \(\pm\) sign when taking the square root.
Frequently asked questions
What is the correct answer to this question?
\(x=\pm 8\)
Why is this the correct answer?
Taking the square root gives \(x=\pm\sqrt{64}=\pm 8\), so the two solutions are \(x=8\) and \(x=-8\). Writing only \(x=8\) or only \(x=-8\) is incomplete because both numbers have square 64. In exams, remember to include the \(\pm\) sign when taking the square root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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