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Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Solve the following equations : (i) 2x^(2)-(3+7i)x-3+9i=0 (ii) (2+i)x^(2)-(5-i)x+2(1-i)=0

Solve: i x^2-3x-2i=0,

Solve: i x^2-3x-2i=0,

Solve: i x^2-3x-2i=0,

Solve: i x^2-3x-2i=0,

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .