Question

The set of values of a for which 1 lies between the roots of equation x?-ax-a+3 =0 is​

Answer 1

Answer:

Let f(x) = x2 − ax − (a − 3) = 0. Let α and β be the roots of equation f(x) = 0. Since 1 lies between α and β, hence f(1) < 0 ⇒ 1 − a − a + 3 < 0 ⇒ a > 2 Read more on Sarthaks.com - https://www.sarthaks.com/563766/the-set-of-values-of-a-for-which-1-lies-between-the-roots-of-equation-x-2-ax-a-3-0-is

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