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When (14) times a number is subtracted from its square, the result is (-45). What is the larger number?
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Answer and explanation
Correct answer: (9)
Let the number be (x), then (x^2-14x=-45), i.e. (x^2-14x+45=0). The roots are (5) and (9), so the larger number is (9).
Frequently asked questions
What is the correct answer to this question?
(9)
Why is this the correct answer?
Let the number be (x), then (x^2-14x=-45), i.e. (x^2-14x+45=0). The roots are (5) and (9), so the larger number is (9).
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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