The sum of squares of all integral values of a − 5 for which the inequality x 2 − ax + 6 a

Question

The sum of squares of all integral values of a > − 5 for which the inequality x 2 − ax + 6 a < 0 is satisfied for all x ∈ ( − 1 , 1 ) is equal to 6 k , then value of k is equal to

TestHub · Accepted Answer

f ( x ) = x 2 − a x + 6 a then k is D > 0 , f ( 1 ) < 0 , f ( − 1 ) < 0 value of a are − 4 , − 3 , − 2 , − 1 ( − 4 ) 2 + ( − 3 ) 2 + ( − 2 ) 2 + ( − 1 ) 2 = 30

Mathematics - Quadratic Equation Question with Solution | TestHub

Doubts & Discussion

JEE Advanced 2028 (Class 11)