[" If "alpha,beta" are real and "alpha_(,)^(2)-beta^(2)" are the roots of the "],[" equation "a^(2)x^(2)+x+(1-a^(2))=0(a>1)" then "beta^(2)=]

If alpha, beta are real and alpha^(2), beta^(2) are the roots of the equation a^(2)x^(2)-x+1-a^(2)=0 (1/sqrt2 lt a lt 1) and beta^(2) ne 1," then "beta^(2)=

If alpha and beta are real and alpha^(2) and -beta^(2) are roots of a^(2)x^(2)+x+1-a^(2)=0a>1 then beta^(2) is

IF alpha , beta are real and alpha ^2 , - beta ^2 are the roots of a ^2 x^2+x+1-a^2=0 (A gt 1) then beta ^2 =

IF alpha , beta are real and alpha ^2 , - beta ^2 are the roots of a ^2 x^2+x+1-a^2=0 (A gt 1) then beta ^2 =

If alpha and beta are roots of the equation x^(2)+px+2=0 and (1)/(alpha)and (1)/(beta) are the roots of the equation 2x^(2)+2qx+1=0 , then (alpha-(1)/(alpha))(beta-(1)/(beta))(alpha+(1)/(beta))(beta+(1)/(alpha)) is equal to :

If alpha and beta are the real roots of the equation x^(2)-(k+1)x-(k+2)=0, then minimum value of alpha^(2)+beta^(2) is

If alpha and beta are the roots of the quadratic equation x^(2)-3x-2=0, then (alpha)/(beta)+(beta)/(alpha)=

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to: