SOLUTION: In the vicinity of a bonfire the temperature T (in °C) at a distance of x meters from the center of the fire is given by T(x) = 500,000/(x^2 + 400) . At what range distances f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: In the vicinity of a bonfire the temperature T (in °C) at a distance of x meters from the center of the fire is given by T(x) = 500,000/(x^2 + 400) . At what range distances f      Log On


   

Question 1086389: In the vicinity of a bonfire the temperature T (in °C) at a distance of x meters from the center of the fire is given by
T(x) =
500,000/(x^2 + 400)
.
At what range distances from the fire's center is the temperature less than 230°C? (Assume x is positive. Round your values to one decimal place. Enter your answer using interval notation.)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
T%28x%29+=500000%2F%28x%5E2+%2B+400%29
the temperature less than 230°C
230+=500000%2F%28x%5E2+%2B+400%29
%28x%5E2+%2B+400%29=500000%2F230
x%5E2+%2B+400=2173.913043478261
x%5E2+=2173.913043478261-+400
x%5E2+=1773.913043478261
x+=sqrt%281773.913043478261%29
x+=42.1 or x+=-42.1-> disregard negative solution, distance is positive number

(0,42.1)