Discussion topicin this unit, you worked with geometric proofs. aproof is a logical sequence of justified conclusionsthat lead from a hypothesis to a final conclusion. in your opinion, why are mathematical proofsimportant? suppose that a conclusion within a proof isn'tjustified or is inaccurate. in geometry, what mightbe the consequences of the inaccuracy? now think about different kinds of proofs that takeplace outside the world of geometry, and list a fewexamples. what might be the consequences ofhaving an unjustified conclusion surface in suchproofs? who might be affected and how?

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.

2

step-by-step explanation:

then