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If x2 + 3x + 5 = 0 and ax2 + bx + c = 0 have acommon root and a, b, c ∈ N, then the minimumvalue of a + b + c is…….
Dear student,
The minimum value of a+b+c is zero....
As roots of x2 + 3x + 5 are non-real so both rootsare common a + b + c = 9λ
x2+3x+5=ax2+bx+c
x2(1-a)+x(3-b)+5-c=0
by putting x=1,, 1-a+3-b+5-c=0
so a+b+c=9
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