0 reads0 ratings0 helpful
The sum of a number and its square is 2352. If the number is positive, what is the number?
Advertisement
Answer and explanation
Correct answer: 48
Let the number be x. Then x² + x = 2352, so x² + x − 2352 = 0. Factoring gives (x − 48)(x + 49) = 0, hence x = 48 or x = −49. Since the question asks for the positive number, the answer is 48. As an exam check, 48² + 48 = 2304 + 48 = 2352, whereas 49 gives 2450.
Frequently asked questions
What is the correct answer to this question?
48
Why is this the correct answer?
Let the number be x. Then x² + x = 2352, so x² + x − 2352 = 0. Factoring gives (x − 48)(x + 49) = 0, hence x = 48 or x = −49. Since the question asks for the positive number, the answer is 48. As an exam check, 48² + 48 = 2304 + 48 = 2352, whereas 49 gives 2450.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement