" (iv) "sqrt(3)x^(2)+16x+13sqrt(3)

Find the nature of the roots of the quadratic equation 13 sqrt(3)x^(2)+10x+ sqrt(3)=0

Given that x-sqrt(5) is a factor of the cubic polynomial x^(3)-3sqrt(5)x^(2)+13x-3sqrt(5), find the other zeroes of the polynomial.

Given that x-sqrt(5) is a factor of the cubic polynomial x^(3)-3sqrt(5)x^(2)+13x-3sqrt(5) , find all the zeroes of the polynomial.

If x - sqrt(5) is a factor of the cubic polynomial x^(3)-3sqrt(5)x^(2)+13x - 3sqrt(5) , then find all the zeroes of the polynomial.

If sqrt(3x^(2)-12x + 19) + sqrt(3x^(2)-12x-11)= 16 then find sqrt(3x^(2)-12x + 19) - sqrt(3x^(2) -12x-11) = ?

The length of latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2)]=(2x-3y+5)^(2) is A) (2)/(sqrt(13)) B) (4)/(sqrt(13)) C) (1)/(sqrt(13)) D) (5)/(sqrt(13))

Show that 0le3sin sqrt(pi^2/16-x^2) le 3/sqrt(2)

Lt_(x to oo) (sqrt(3+9x^(2))+sqrt(4x^(2)-1))/(sqrt(1+16x^(2))-sqrt(9x^(2)+2))=