When 9 is added to a number, the square of the resulting number is 676. Taking the positive square root, what is the original number?
Answer and explanation
Correct answer: 17
Let the original number be \(x\). Then \((x+9)^2=676\). Taking the positive square root gives \(x+9=26\), so \(x=26-9=17\). Option 26 is the resulting number, not the original number. In exams, remember that a square equation generally has positive and negative roots, but here the question specifically asks for the positive root.
Frequently asked questions
What is the correct answer to this question?
17
Why is this the correct answer?
Let the original number be \(x\). Then \((x+9)^2=676\). Taking the positive square root gives \(x+9=26\), so \(x=26-9=17\). Option 26 is the resulting number, not the original number. In exams, remember that a square equation generally has positive and negative roots, but here the question specifically asks for the positive root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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