If `abx^(2)=(a-b)^(2)(x+1)`, then find the value of `1+(4)/(x)+(4)/(x^(2))` in terms of a and b.

If (x-k) is a common factor of x^(2)+3x+aandx^(2)+4x+b , then find the value of k in terms of a and b .

If x - (1)/(2x) = 2 , then find the value of (4x^(4) + 1)/(4x^(2))

If x-(1)/(x)=3, find the values of x^(2)+(1)/(x^(2)) and x^(4)+(1)/(x^(4))

If abx^2=(a-b)^2(x+1) , then the value of 1+4/x+4/x^2 is: a.     (a+b)/(a-b) b.     (a+b)^2/(a-b)^2 c.     (a+b)/(a-b)^2 d.     1

If x=sqrt(2)+1 find the value of x^(4)-4x^(3)+4x^(2)+1

If x^(2)+4x-1=0 and x is positive then find the value of a.x+(1)/(x) b.) x^(2)+(1)/(x^(2))

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.

If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1 , then find the value of a and b given that 2a-3b=4.