Question

\[x^{2}+3x+5=0\]and\[ax^{2}+bx+c=0\]have a common root and \[a,b,c \epsilon N\]then the minimum value of a+b+c is ???

Answer 1

i am getting 9

Answer 2

is it correct @mukushla ?

Answer 3

show ur work

Answer 4

i found that both the roots are common

Answer 5

how?

Answer 6

eq. 1 will have 2 complex roots
so both the roots will be equal
so 1/a = 3/b = 5/c

Answer 7

i mean to say both the roots will be common

Answer 8

exactly

Answer 9

minimum a+b+c=1+3+5=9