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Mathematics Test 26

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Mathematics Test 26
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    If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals

    Solution

    Let α, α + 1 be roots 
    α + α + 1 = b 
    α(α + 1) = c 
    ∴ b2 – 4c = (2α + 1)2 - 4α(α + 1) = 1. 

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