" (i) "3x^(2)+8x+4=0

3x^(2) + 8x +4=0, 4y^(2)-19y + 12=0

Solve 3x^(4) -8x^(3) -6x^(2) + 8x + 3 = 0 .

Solve the follwing inequations by algebric and graphical methods. i) x^(2) – 8x + 15 gt 0 ii) 2x^(2) + 3x – 2 lt 0 iii) x^(2) - 4x + 5 gt 0 iv) 15x^(2) + 4x – 5 le 0

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

Prove that the curves y=x^(3)-3x^(2)-8x-4,y=3x^(2)+7x+4 touch each other and equation of the common tangent is x-y+1=0 .

Simplify the following : 5x^(4) - 7x^(2) +8x - 1 +3x^(2) - 9x^(2) + 7 - 3x^(4)+11x - 2 +8x^(2)