In the figure, ABCDE is a pentagon with BE||CD and BCIDE. BC is perpendicular to
CD. AB= 5cm, AE=5cm, BE= 7cm, BC= x-y and CD= x+y. If the perimeter of ABCDE is
27cm. find the value of x and y. given x, y 0.

BC=DE= x-y

AB+BC+CD+DE=5+x-y+x+y+x-y=27 cm

5+3x-y=27 cm

3x-y=22

if x=9 , then 3*9-y=22,  27-y=22, y=27-22, y=5

Step-by-step explanation:

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.