The altas Middle school soccer team has won the state championship the players parents are so proud that they are building an award to celebrate the base of the awards case has an area of 13 ft.² the case is 4 feet tall what is the volume of the new awards case

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.

the value of x is 28.2

the answers are

1. 2

2. 5

3. symmetrical