Question

if tan 20° and tan 25° are roots of a quadratic equation x^2+2px+q=0 is equal to​

Answer 1

GIVEN EQUATION:

${x}^{2} + 2px + q = 0$

WE KNOW,

FOR ALL QUADRATIC EQUATION,

${x}^{2} + sum \: of \: roots \: \times x + product \: of \: roots$

HANCE,

$2p = \tan(20) \\ \frac{ \tan(20) }{2}$

$q = \tan(20) \times \tan(25)$