Greenies has 3 sticks. one stick measures 6mm. another stick measures 9mm. the third stick measures 11mm. she needs to measure the length of the 4th stick so that it is exactly 14mm. how can she arrange her existing sticks to measure exactly 14mm

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.

it would open into a square depending on the type of envelope i’m not sure about the second part