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The equations x^2 +3x+5=0 and ax^2+bx+c=...

The equations `x^2 +3x+5=0 `and `ax^2+bx+c=0` have a common root. If `a,b,c in N` then the least possible values of a+b+c is equal to

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Roots of `x^(2) + 3x + 5 = 0 ` are non- real.
Thus, given equation will have two common roots.
`rArr (a)/(1) = (b)/(3) = (c)/(5) = lambda`
`rArr a + b + c = 9 lambda, a, b, c in` N
Thus, minimum value of a + b + c is 9.
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