[2x^(2)+x-4=0],[2x^(2)+x-4=0]

Find the roots of following quadratic equations by using quadratic formula, if they exist. (i) 2x^(2)+x-4=0 (ii) 2x^(2)+x+4=0 (iii) 2x^(2)+5sqrt3x+6=0 (iv) sqrt3x^(2)+11x+6sqrt3=0

Determine the nature of the roots of the following quadratic equations: 2x^(2)+x-1=0x^(2)-4x+4=0x^(2)+x+1=04x^(2)-4x+1=02x^(2)+5x+5=0

4x^2-7x-2=0

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is y^(2)+4x+2=0y^(2)-4x+2=0x^(2)-4y+2=0x^(2)+4y+2=0

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)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

(x^(2)+4x+4)/(2x^(2)-x-1)>0

The reciprocal equation among the following is 2x^(3)+4x^(2)+2x+2=0 2x^(3)+4x^(2)+4x+2=0 2x^(3)+4x^(2)+2x+4=0 2x^(3)+2x^(2)+4x-4=0

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