" (ii) "3x^(2)+14x+8

Find the nature of the roots of the equations of given below : (a) x^(2) - 13x + 11 =0 (b ) 18x^(2) - 14x + 17 = 0 (c ) 9x^(2) - 36x + 36 = 0 (d) 3x^(2) - 5x - 8 = 0

If (13x^(2) + 30 x + 17)/(3x^(2) + 14 x + 8) gt 3 , then find the value of x, if x in R and x ne (-2)/(3), -4 .

If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in geometric progression, then the difference between the largest and the smallest roots is

If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in geometric progression, then the difference between the largest and the smallest roots is

If the roots of x^(3) - kx^(2) + 14x - 8 = 0 are in G.P. then k =