Mark the Correct alternative in the following:
If the roots of are two consecutive integers, then is

Question

Mark the Correct alternative in the following: If the roots of are two consecutive integers, then is

Philoid · Accepted Answer

given that roots are consecutive, let they be a, a+1

From the formula for quadratic equation,

(x - a)(x - a - 1)
= x² - (a + 1)x - ax + a(a + 1)
= x² - (2a + 1)x + a(a + 1)
then
b² - 4c = (2a + 1)² - 4a(a + 1)
= 4a² + 1 + 4a - 4a² - 4a
= 1.

Mark the Correct alternative in the following:If the roots of are two consecutive integers, then is