Lizzy is tiling a kitchen floor for the first time. She had a tough time at first and placed only 1 tiles the first day. She started to go faster and by the end of day 4, she had placed 31 tiles. She worked at a steady rate
after the first day. Use an equation in point-slope form to determine how many days Lizzy took to place
all of the 100 tiles needed to finish the floor. Solve the problem using an equation in point-slope form.
plz help don't give an answer give an explanation i want to understand, i'll give a brainiest for the person who gives only an explanation

thanks for free points

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.