Find an integer `x` such that
(i) `-3+x=0`
(ii) `x+(-8)=0`

Find an integer x such that (i) 7+x=0 (ii) x+0=0

Find an integer x such that (i) x+1=0 (ii) x+5=0

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist (i) 3x^(2)-5x+2=0 (ii) x^(2)+4x+5=0

Find the points of discontinuity of following functions ( where ,[.] repesents greatest integer fuction ) (i) f(x) =[x//3], x in [0,30] (ii) f(x) =[log_(e)x] (iii) f(x)= [ sin^(-1)x] f(x) =[(2)/(1+x^(2))],x gt 0

Find the roots of the following equations : (i) x+1/x=3, x!=0 (ii) 1/x-1/(x-2)=3,x!=0,2

Find the value of the polynomial 5x-4x^2+3 at (i) x=0 (ii) x=-1 (iii) x=2

Find the roots of the quadratic equations by applying the quadratic formula. (i) 2x^2 -7x+3 =0 (ii) 2x^2+x-4 =0 (iii) 4x^2+4sqrt3x+3=0 (iv) 2x^2+x+4 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots.(i) 2x^2+k x+3=0 (ii) k x(x-2)+6=0

Find the roots of the following quadratic equations by factorisation : (i) x^(2)-3x-10=0 (ii) 2x^(2)+x-6=0 (iii) sqrt2x^(2)+7x+5sqrt2=0 (iv) 2x^(2)-x+(1)/(8)=0 (v) 100x^(2)-20x+1=0 (vi) 2x^(2)+az-a^(2)=0

Find the range: (i) f(x) = 1+x (ii) f(x) = (1)/(x) , x != 0