Solve for x (i) |x+1|=4x+3 (ii) |x+1|=|x+3| (iii) 7|x-2|-|x-7|=5 (iv) ||x-1|-2|=6x+8 (v) |2x^(2)...

Solve for x: (x+3)/7+(x-1)/2=2x

Solve for x (i) 2^(|x+1|)+2^(|x|)=6 and x in I (ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2| (iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0

Factorise: (i) 12 x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4

Verify by substitution that the root of . (i) 3x-5=7 is x=4 . (ii) 3+2x=9 is x=3 . (iii) 5x-8=2x-2 is x=2 . (iv) 8-7y=1 is y=1 . (v) (z)/(7)=8 is z=56 .

Solve the following in equalities (i) |x+7| gt 5 (ii) |x+3| lt 10 (iii) (x+2) lt |x^(2)+3x+5| (iv) |(2x-1)/(x-1)| gt 2 (v) |x-6| le x^(2)-5x+9 (vi)(x^(2)-|x|-12)/(x-3) ge 2x (vii) (|x-1|-3)(|x+2|-5) lt 0 (viii) |x-1|+|x-2|+|x-3| le 6

Integrate the following w.r.t. x. (i) 4x^(3) , (ii) x-1/x , (iii) 1/(2x+3) , (iv) cos (4x+3) (v) cos^(2) x

solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=2x-6 (iii) |x-4|+|x-7| = 11

Solve for x, (4x+3)/5-((2x-1)/3)=7x+1/2

Factorise (i) x^(2)+9x+18 " " (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 " " (iv) 84-2r-2r^(2)