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Question
If x2+3x+5=0 and ax2+bx+c=0 have common roots and a,b,c∈N, then find the minimum value of a+b+c.
If x2+3x+5=0 and ax2+bx+c=0 have common roots and a,b,c∈N, then find the minimum value of a+b+c.
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Solution
The correct option is A 9
Considering both the equations, have common 'roots',
then both the equations will become identical.
Hence a=1,b=3,c=5.
Thus
Least value of a+b+c
=9
Considering both the equations, have common 'roots',
then both the equations will become identical.
Hence a=1,b=3,c=5.
Thus
Least value of a+b+c
=9
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