[" (i) "2x^(2)-7x+3=0],[" (ii) "4x^(2)+4sqrt(3)x+3=0]

3x^(2)-4sqrt(3)x+4=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

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

Which of the following are quadratic equations in x? (i)" "x^(2)-x+3=0" "(ii)" "2x^(2)+(5)/(2)x-sqrt(3)=0 (iii)" "sqrt(2)x^(2)+7x+5sqrt(2)=0" "(iv)" "(1)/(3)x^(2)+(1)/(5)x-2=0 (v)" "x^(2)-3x-sqrt(x)+4=0" "(vi)x-(6)/(x)=3 (vii)" "x+(2)/(x)=x^(2)" "(viii)" "x^(2)-(1)/(x^(2))=5 (ix)" "(x+2)^(3)=x^(3)-8" "(x)" "(2x+3)(3x+2)=6(x-1)(x-2) (xi) " "(x+(1)/(x))^(2)=2(x+(1)/(x))+3

Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (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

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