If the roots of x? - bx+c=0 be two consecutive integers, then find the value of b² - 4c.
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Step-by-step explanation:
Given equation is x2−bx+c=0
Let the roots be α and α+1
Therefore, 2α+1=b
⇒α(α+1)=c
Hence, b2−4c
=(2α+1)2−4α(α+1)
=1
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Answer:
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