SOLUTION: The heat index H in degrees Fahrenheit can be modeled by H=0.0576t^2 - 7.588t + 319.929 where t is the temperature (in degrees Fahrenheit) for a relative humidity of 65% and t less

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The heat index H in degrees Fahrenheit can be modeled by H=0.0576t^2 - 7.588t + 319.929 where t is the temperature (in degrees Fahrenheit) for a relative humidity of 65% and t less      Log On


   

Question 1048092: The heat index H in degrees Fahrenheit can be modeled by H=0.0576t^2 - 7.588t + 319.929 where t is the temperature (in degrees Fahrenheit) for a relative humidity of 65% and t less than or equal to 70. Find the temperature that has a heat index of 95 degrees Fahrenheit.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+H+=+.0576t%5E2+-+7.588t+%2B+319.929+
given:
+95+=+.0576t%5E2+-+7.588t+%2B+319.929+
+.0576t%5E2+-+7.588t+%2B+224.929+=+0+
+576t%5E2+-+75880t+%2B+2249290+=+0+
Solve for +t+ using the quadratic formula.
I would solve it, but the numbers are way
too big, and there's no common denominator
that I can see ( except 2 )