यदि `x = (-5 + i sqrt(3))/(2)` हो, तो सिध्द कीजिए कि `(x^(2) + 5x)^(2) + x(x+5) = 42`

sqrt(5)x^(2)+2x-3sqrt(5)

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))

x^(2)+(3-sqrt(5))x-3sqrt(5)=0

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)), then the value of x^(2)+(1)/(x^(2))

If x=(1)/(sqrt(5)-2) , find the value of x^(3)-3x^(2)-5x+3 .