Quadratic EquationEasy
Question
If roots of the equation x2 - bx + c = 0 be two consectutive integers, then b2 - 4c equals
Options
A.- 2
B.3
C.2
D.1
Solution
Let α, α + 1 be roots
α + α + 1 = b
α (α + 1) = c
∴ b2 - 4c = (2α + 1)2 - 4α(α + 1) = 1.
α + α + 1 = b
α (α + 1) = c
∴ b2 - 4c = (2α + 1)2 - 4α(α + 1) = 1.
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