SOLUTION: May I have some help with this following problem? In the vicinity of a bonfire, the temperature T in °C at a distance of x meters from the center of the fire was given by the fo

Algebra ->  Equations -> SOLUTION: May I have some help with this following problem? In the vicinity of a bonfire, the temperature T in °C at a distance of x meters from the center of the fire was given by the fo      Log On


   



Question 121557: May I have some help with this following problem?
In the vicinity of a bonfire, the temperature T in °C at a distance of x meters from the center of the fire was given by the following formula.


T=325000/(x^2+300)
At what range of distances from the fire's center was the temperature less than 250°C?

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
250=325000/(x^2+300) now cross multiply.
250(x^2+300)=325000
250x^2+75000-325000=0
250(x^2+300-1300)=0
using the quadratic equation we get:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-300+-sqrt[300^3-4*1*-1300])/2*1
x=(-300+-sqrt[90000+5200])/2
x=(-300+-sqrt95,200)/2
x=(-300+-308.545)/2
x=(-300+308.545)/2
x=8.545/2
x=4.27 meters is the answer.