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Grade 11Trigonometry

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

Profile image of Arunit Adhikary
7 Years agoGrade 11
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1 Answer

Profile image of Saurabh Koranglekar
6 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