" 68."((x)/(x+1))^(2)-5((x)/(x+1))+6=0

Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

(x^(2)-(x+1)(x+2))/(5x+1)=6

(x^(2)-3.5x+1.5)/(x^(2)-x-6)=0

If x,y,z in R , then the value of determinant |((5^(x)+5^(-x))^(2) , (5^(x)-5^(-x))^(2),1),((6^(x)+6^(-x))^(2),(6^(x)-6^(-x))^(2), 1),((7^(x)+7^(-x))^(2),(7^(x)-7^(-x))^(2),1)| is

((x+3)(x^(2)-5x+6))/((x^(2)+x+1)(x-4))<=0

Determine the values of x satisfying the following equalities: (a) |(x-1)/(x+1)|=(x-1)/(x+1) (b) |x^(2)-5x+6|=-(x^(2)+-5x+6)

If x^(4) - 3x^(2) - 1 = 0 , then the value of (x^(6)-3x^(2)+(3)/(x^(2))-(1)/(x^(6))+1) is :