Q12 of 78 Page 14

Mark the Correct alternative in the following:

If the roots of are two consecutive integers, then is


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.

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