SOLUTION: Five times the square of a negative number is 48 more that the number. What is the number?

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Question 977354: Five times the square of a negative number is 48 more that the number. What is the number?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n%3C0;

5%28n%29%5E2=48%2Bn
5n%5E2-n-48=0
Try to factor if you can.

Discriminant, %28-1%29%5E2-4%2A5%2A%28-48%29
1%2B20%2A48
961
31%5E2

n=%281%2B-+31%29%2F10
The negative value is wanted.
highlight%28n=-3%29