If `s_(1),s_(2),s_(3)...s_(r)` are the sum of the products of the roots taken 'r' at a time then for `x^(5)-x^(2)+4x-9=0`, then `s_(3)+s_(4)-s_(5)=`

If s_(1),s_(2)s_(3),......s_(r) are the sum of the products of the roots taken rat a time then for 2x^(9)-5x^(4)+k=0,s_(r)=16rArr k=

If s_1,s_2,s_3.........s_r are the sum of the products of the roots taken 'r' at a time then for x^5 - x^2 + 4x - 9 = 0 => s_3 +s_4 - s_5 =

If 3x^(4)-27x^(3)+36x^(2)-5=0 then s_(1)+s_(2)=

Let S_(r) denotes the sum of rth powers of the roots of x^(4)-x^(3)-7x^(2)+x+6= then

If x^3+2x^(2)-3x-1=0 then the value of S_(-4) is

The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes.If S_(1),S_(2),S_(3) are the areas of these parts numbered from top to bottom,respectively, then S_(1):S_(2)-=1:1(b)S_(2):S_(3)-=1:2S_(1):S_(3)-=1:1(d)S_(1):(S_(1)+S_(2))=1:2

S_(r) denotes the sum of the first r terms of an AP.Then S_(3d):(S_(2n)-S_(n)) is -

If S_(1), S_(2) and S_(3) are the sums of first n natureal numbers, their squares and their cubes respectively, then (S_(1)^(4)S_(2)^(2)-S_(2)^(2)S_(3)^(2))/(S_(1)^(2) +S_(2)^(2))=

If S_(n) denotes the sum of first 'n' natural numbers then S_(1)+S_(2)x+S_(3)x^(2)+........+S_(n)*x then n is