2 years ago

The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

the "negative solution" is -3

Step-by-step explanation:

Represent the number by n.

Then n^2 - 24 = 5n

We rewrite this in standard quadratic form:

n^2 - 5n - 24 = 0

This factors as follows; (n + 3)(n - 8) = 0

The roots are n = -3 and n = 8. Thus, the "negative solution" is -3

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