1fir to answer abc ayga
If the roots of the equation x2+ax+b=0 are c and d, then one of the roots of the equation x2+(2c+a)x+c2+ac+b=0 is ???
a)0
b)-2c-a
c)d-c
d)None of these
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13 Answers
62x2+(2c+a)x+c2+ac+b
= x2+ax+b+2cx+ac+c2
=(x-c)(x-d)+c(2x+a+c)
a=-d-c
=(x-c)(x-d)+c(2x-d)
=(x-c)(x-d)+c(2x-d)
putting x=0 we get zero
x=d-c gives
(d-2c)(-c)+c(d-2c) which is again zero..
last option -2c-a = -2c+d+c =d-c which is same as the 3rd option..
So a, b, c
11bhaiyya really sorry
there was a mistake in the question sorry for wasting ur time
ive edited it now
62no aman.. identity means zero for all values of x..
this is zero for only 2 values of x.!
11yes the answer is a,b,c
but there is a better way of looking at the second equation
it is f(x+c)=0
since roots of f(x)=0 are c and d
the roots of f(x+c)=0 should be 0 and d-c
21SIR,
I got ur way of solving.... nice one....
par agar woh strike nahi hota hai to can u tell me if the fol approach of mine wud hav led to any imp conclusion or not....
aage i know it seems bleak...[2]
11tapan did u see what i posted
i think that would be the shortest method available