If `x=-5+2sqrt(-4)` , find the value of `x^4+9x^3+35 x^2-x+4.`

If x=7+4sqrt3 then find the value of x+(1)/(x)

Find the value of x^(2)+1/x^(2)" when "x=4 +sqrt15

If |[1,x,x^2] , [x,x^2,1] , [x^2,1,x]|=3 then find the value of |[x^3-1, 0, x-x^4] , [0,x-x^4, x^3-1] , [x-x^4, x^3-1, 0]|

If f(x , y) satisfies the equation 1+4x-x^2=sqrt(9sec^2y+4cos e c^2y) then find the value of xa n dtan^2ydot

If 9x^(4)+12x^(3)+28x^(2)+ax+b is perfect square, find the values of a and b.

If m - nx + 28x^(2) + 12x^(3) + 9x^(4) is aperfect square, then find the values of m and n.

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

The greatest integral value of a such that sqrt( 9 - a^2 + 2x - x^2) >= sqrt(16 - x^2) for at least one positive value of x is (a) 3 (b) 4 (c) 6 (d) 7