Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta + 1=0` and `alpha_2 and beta_2` are the roots of the equation `x^2 + 2xtantheta-1=0`. If `alpha_1 > beta_1` and `alpha_2 >beta_2`, then `alpha_1 + beta_2` equals

Let -(pi)/6ltthetalt -(pi)/12 . Suppose alpha_(1) and beta_(1) are the roots of the equation x^(2)-2x sec theta+1=0 and alpha_(2) and beta_(2) are the roots of the equation x^(2)+2xtan theta-1=0 . If alpha_(1)gtbeta_(1) and alpha_(2)gtbeta_(2) then alpha_(1)+beta_(2) equals

Let -pi/6 beta_1 and alpha_2>beta_2 then alpha_1+beta_2 equals

If alpha,beta are the roots of the equation x^(2)+px+q=0, then -(1)/(alpha),-(1)/(beta) are the roots of the equation.

If alpha and beta are the roots of the equation x^(2) +6x + 1 = 0 ," then what is "|alpha - beta| equal to?

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?