In each of the following determine whether the given values are solution of the given equation or not:
(i)`x^2-x+1=0,\ \ x=1,\ x=-1`
(ii) `x^2+sqrt(2)x-4=0,\ \ x=sqrt(2),\ \ x=-2sqrt(2)`

In each of the following, determine whether the given values are solutions of the given equation or not: (i) 2x^2-x+9=x^2+4x+3,\ \ x=2,\ \ x=3 (ii) x^2-sqrt(2)x-4=0,\ \ x=-sqrt(2),\ \ x=-2sqrt(2) (iii) a^2x^2-3a b x+2b^2=0,\ \ x=a//b ,\ \ x=b//a

In each of the following determine whether the given values are solution of the given equation or not: (i) 3x^2-2x-1=0,\ \ x=1 (ii) 6x^2-x-2=0,\ \ x=-1//2,\ \ x=2//3

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, find the value of k for which the given value is a solution of the given equation: (i) k x^2+sqrt(2)x-4=0,\ \ x=sqrt(2) (ii) x^2+3a x+k=0,\ \ x=-a

In each of the following, determine the value of k for which the given value is a solution of the equation: (i) k x^2+2x-3=0,\ \ x=2 (ii) 3x^2+2k x-3=0,\ \ x=-1/2 (iii) x^2+2a x-k=0,\ \ x=-a

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: (i) 2x^2-2sqrt(2)x+1=0 (ii) 3x^2-5x+2=0

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: (i) 2x^2+5sqrt(3)x+6=0 (ii) sqrt(2)x^2+7x+5sqrt(2)=0

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: (i) 3x^2+2sqrt(5)x-5=0 (ii) x^2-2x+1=0

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: (i) 2x^2-2sqrt(6)x+3=0 (ii) 3a^2x^2+8a b x+4b^2=0,\ \ a!=0

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: (i) sqrt(3)x^2+10 x-8sqrt(3)=0 (ii) 3x^2-2x+2=0