the roots of the equation `(a+sqrt(b))^(x^2-15)+(a-sqrt(b))^(x^2-15)=2a` where `a^2-b=1` are

The roots of the equation (a+sqrtb)^(x^2-15) + (a-sqrtb)^(x^2-15) =2a where (a^2-b)=1 are

The no of real solutions of the equation (15+sqrt(14))^(t)+(15-sqrt(14))^(t)=30 are where t=x^(2)-2|x|

The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3) is a 3 b. 0 c. 2 d. none of these

The values of x satisfying the equation (31+8sqrt(15))^(x^(2)-3)+1=(32+8sqrt(15))^(x^(2)-3) is/are (A) 3 (B) 0 (C) 2 (D) -2

The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3) is (a) 3 (b) 0 (c) 2 (d) none of these

The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3) is (a) 3 (b) 0 (c) 2 (d) none of these

If 2 + i and sqrt(5)-2i are the roots of the equation (x^(2)+ax+b)(x^(2)+cx+d)=0 where a , b , c , d are real constants then product of all roots of the equation is -

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