If the roots of the equation x squared minus bx plus c equals 0 are two consecutive integers, then b squared minus 4c equals

B. 1 — Let the roots be n and n plus 1. The discriminant of the quadratic equation is the square of the difference of the roots, which is (n plus 1 minus n) squared, resulting in 1.

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

A. $0$
B. $1$
C. $2$
D. $4$

Show correct answer & step-by-step solution

Correct answer: B — $1$

Solution

Let roots be α and α + 1 . The discriminant D = b^{2} - 4 c = (α + 1 - α)^{2} = 1^{2} = 1 .

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If the roots of the equation x2−bx+c=0 are two consecutive integers, then b2−4c equals

Solution

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More Quadratic Equations practice questions

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