If the roots of the equation $x^{2} - bx + c = 0$ be two consecutive integers, then $b^{2} - 4c$ equals

Question

Dr. Abubacker · Accepted Answer

(a)
Let two consecutive integers $n$ and $(n + 1)$ be the roots of $x^{2} - bx + c = 0$. Then, $n + (n + 1) = b$ and $n(n + 1) = c$
$	herefore\ \ b^{2} - 4c = (2n + 1)^{2} - 4n(n + 1) = 1$

Q. If the roots of the equation $x^{2} - bx + c = 0$ be two consecutive integers, then $b^{2} - 4c$ equals

Explanation

Reviewed by Dr. Abubacker

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