The area of this triangle is 200ft ^2. what does x have to be. base of triangle= 5x ft. height of triangle = 12 ft.

Area = 1/2 (5x) (12)

1/2 (5x) (12) = 200

30x = 200

x = 20/3 < value of x

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.