if the roots of the eq. x2+px +q=0are tan 30 and tan 15 then find the value of2=p-q is

Given: tan 30° and tan 15° are the roots of the equation x2 + px + q = 0

⇒ tan 30° + tan 15° = –p

and tan 30° × tan 15° = q

and tan 15° = tan (60° – 45°)

 

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