Solve the quadratic equation of x
(sin(2a)).x^{2} - 2.x.(sin(a)+cos(a)) +2 =0
Kindly explain your answer.
Rewrite $\displaystyle \sin {2a}$ as $\displaystyle 2 \sin a \cos a$ and divide everything by 2:
$\displaystyle (\sin a \cos a )x^2 - (\sin a + \cos a)x + 1 = 0$
Apparently this factors to
$\displaystyle (x \sin a - 1)(x \cos a - 1) = 0$.
Solve for x.