[3x^(4)+6x^(3)-2x^(2)-10x-5],[sqrt((5)/(3)),-sqrt((5)/(3))]

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

If two of the zeroes of the polynomial p(x)=5x^(4)-5x^(3)-33x^(2)+3x+18 are sqrt((3)/(5)) and -sqrt((3)/(5)) find the other two zeroes.

6sqrt(3)x^(2)-47x+5sqrt(3)

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

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

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

Obtain all the zeros of the polynomial f(x)=3x^(4)+6x^(3)-2x^(2)-10x-5, if two of its zeros are sqrt((5)/(3)) and sqrt(-(5)/(3))

Obtain all other zeroes of 3x^(4)+6x^(3)-2x^(2)-10x-5 ,if two of its zeroes are sqrt((5)/(3)) and

Given x, y in R , x^(2) + y^(2) gt 0 . Then the range of (x^(2) + y^(2))/(x^(2) + xy + 4y^(2)) is (a) ((10 - 4 sqrt(5))/(3),(10 + 4 sqrt(5))/(3)) (b) ((10 - 4 sqrt(5))/(15),(10 + 4 sqrt(5))/(15)) (c) ((5- 4 sqrt(5))/(15),(5 + 4 sqrt(5))/(15)) (d) ((20- 4 sqrt(5))/(15),(20 + 4 sqrt(5))/(15))

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