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When 975 is subtracted from the square of a number, the result is 2625. What is the positive number?
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Answer and explanation
Correct answer: 60
Let the number be \(x\). Then \(x^2-975=2625\), so \(x^2=2625+975=3600\). Hence \(x=\pm60\), but the positive number is \(60\). Exam tip: Translate “subtracting from the square” as \(x^2-975\), and select the positive root when asked for a positive number.
Frequently asked questions
What is the correct answer to this question?
60
Why is this the correct answer?
Let the number be \(x\). Then \(x^2-975=2625\), so \(x^2=2625+975=3600\). Hence \(x=\pm60\), but the positive number is \(60\). Exam tip: Translate “subtracting from the square” as \(x^2-975\), and select the positive root when asked for a positive number.
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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