13100/2001
URBA
EDGA
MODAL PAPER-1
기 7 if a pair of linear eq 30+ 4
u
aky za
200 trg
+120 ore parallel to each other
then the value of k'is
Answers
Answer:We know that is is possible to factor a polynomial using its roots. For a quadratic polynomial this means that we can write it as (x−r1)(x−r2). In this case we have the roots 2 and 3 meaning the polynomial can be written as:
(x−2)(x−3)=x2−3x−2x+6=x2−5x+6
The above equation is equivalent to the on given in the problem. To compare the two we multiply the above equation through by three getting:
3x2−15x+18
Comparing that to 3x2−2kx+2m we see that −2km=−15 making k=152 , we also see that 2m=18 making m=9 .
This is a good example of the fact that it can come in handy to know several ways of finding roots in polynomial equations. Had one only known what I would call the standard formula for finding roots in quadratic equations this would have been a mess to solve
(I am talking about the formula r=−b±d−−√2a where d=b2−4ac )
Step-by-step explanation: