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Find a number from a condition on its square (form and solve a quadratic)

This type of question, asked 2 times: 19 Sep 2025 S3, 22 Sep 2025 S3. All 2 questions below, oldest first.

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  1. Question 1

    19 Sep 2025 S3

    52
    If you subtract the square of a number from 4052 and then multiply the result by 15, you get 41340. What is that number?

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  2. Question 2

    22 Sep 2025 S3

    59
    A number is such that if you square it and then subtract twice the number, the result is 8080. What is the number?

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