`tan 22 1^circ/2` is a root of the equation - `(1+x^(2))/(1- x^(2)) = sqrt2`.

The roots of the equation x^(2) -2 sqrt(2) x + 1 = 0 are

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 in a !ABC , tan A/2 and tan B/2 are the roots of the equation 6x^(2)-5x+1=0 , then

Which of the following is/are CORRECT . A) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (-9+sqrt(5))/(2) B) If one root of the equation x^(2)-sqrt(5)x-19=0 is (9-sqrt(5))/(2) ,then the other root is (9+sqrt(5))/(2) C) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root -1 D) If one root of the equation x^(2)-ix-(1+i)=0 , (i=sqrt(-1)) is 1+i find the other root 1-i

If alpha " and " beta ( alpha gt beta) are roots of the equation x^(2) - sqrt2 x + sqrt( 3 - 2 sqrt 2 ) = 0", then the value of " ( cos^(-1) alpha + tan^(-1) alpha + tan ^(-1) beta) is equal to

The sum of the roots of the equation 2^(33x-2)+2^(11x+2)=2^(22x+1)+1 is

The sum of the roots of the equation 2^((33x-2))+2^((11x+2))=2^((22x+1))+1 is

The roots of the equations |{:(1+x,3,5),(2,2+x,5),(2,3,x+4):}| = 0 are