###### Asked in Math and ArithmeticPrime NumbersNumbers

Math and Arithmetic

Prime Numbers

Numbers

# The square of certain number exceeds 24 by 5 times the numberwhat is the number?

## Answer

###### Wiki User

###### September 28, 2014 1:22AM

x2 - 5x - 24 = 0

(x + 3)(x - 8)

x = 8

Check it.

64 exceeds 24 by 40.

It checks.

###### FARNICEE James

###### October 20, 2019 9:18AM

8

## Related Questions

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### What number most exceeds its square?

If we were to graph the number it would be:
y = x
If we were to graph the square it would be:
y = x²
The difference would be:
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You want to maximize this difference, so take the
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f'(x) = 1 - 2x
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Add 2x to both sides:
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y = x
If we were to graph the square it would be:
y = x²
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f(x) = x - x²
You want to maximize this difference, so take the
derivative:
f'(x) = 1 - 2x
Then set it to zero:
0 = 1 - 2x
Add 2x to both sides:
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Divide both sides by 2:
x = ½
Answer: ½ is the number that most exceeds its square.

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### Explain why it is not possible to take a square root of a negative number?

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