1.

If equation x^(2)+ax+b=0, (a, b, in Q) and 2x^(3)+5x^(2)+2x-1=0 may have a common root, then sum of all possible values of (a-b) is :

Answer»


Solution :`2x^(3)+5x^(2)+2x-1=(X+1)(2x^(2)+3x-1)`
`rArr"either x "=-1 ` is ROOT of EQUATION
or `x^(2)+ax+b=0 & 2x^(2)+3x-1=0` have both
roots in common.


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