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if the quadratic equation x ^2 +(2 + tanA) x – (1 + tanA) = 0 has 2 integral roots, then sum of all possible values of A in the interval,(0 , 2pi) is k (pi), then k equals: please provide step-wise solution

if the quadratic equation x^2 +(2 + tanA)x – (1 + tanA) = 0 has 2 integral roots, then sum of all possible values of A in the interval,(0 , 2pi) is k(pi), then k equals:
 
please provide step-wise solution

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Using quadratic formula

Obtain eqn for roots of the equation

Tan A should be even integer and discriminant must be and even multiple

Values of tan A -2,-4,-8

Regards

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