The square of a positive number is 24 more than 5 times the number. what is the value of the number?

The correct answer is 8. See the steps below:

1. We will use x for the unknown number.

2. X^2+24=5x according to the given info.

3. Move everything to one side.

X^2-5x-24=0
(X-8)(x+3)=0

X is 8 or -3.

However, the problem said positive number. So we can ignore the -3, the correct answer is 8.

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