Explain. -. REASON QUANTITATIVELY Skylar does a dive with a degree of difficulty of
3.3. Four of his scores are 7.5,70,6.5, and 6.5. Toby does a dive with a degree of
difficulty of 3.1 and receives scores of 7.0, 7.5, 7.5, 6.0, and 8.0. If Skylar's final
score was greater than Toby's, what can you say about Skylar's fifth score?
Explain.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.