" (ii) "2x^(2)+6sqrt(3)x-60=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 2x^(2)+6sqrt(3)x-60=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)

In each of the following, determine whether the given values are solutions of the given equation or not: (i) x^2-3x+2=0,\ \ x=2,\ x=-1 (ii) x^2+x+1=0,\ \ x=0,\ x=1 (iii) x^2-3sqrt(3)x+6=0,\ \ x=sqrt(3),\ \ x=-2sqrt(3) (iv) x+1/x=(13)/6,\ \ x=5/6,\ \ x=4/3

In each of the following, determine whether the given values are solutions of the given equation or not: x^2-3x+2=0, x=2, x=-1 (ii) x^2+x+1=0, x=0, x=1 (iii) x^2-3sqrt(3)x+6=0, x=sqrt(3), x=-2sqrt(3) (iv) x+1/x=(13)/6, x=5/6, x=4/3

For the equation 2x^(2)-6sqrt(2)x-1=0

For the equation 2x^(2)-6sqrt(2)x-1=0

Solve (i) x^(2) -(3sqrt2-2i)x-6sqrt2i=0

Find the roots of the following qudratic equations by factorisation: (1) 3x^(2)-13x-30=0 (2) x^(2)-(3)/(2)x+(9)/(16)=0 (3) x^(2)-4sqrt(3x)-15=0 (3) sqrt(3x^(2))-7x-6sqrt(3)=0

Length of intercepts made by circle x^(2)+y^(2)-6sqrt(2)x-6y+9=0 on xandy-a xi s, are respectively 0,6(b)6,0(c)3,3(d)6,6