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 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) 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: (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 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 each of the following, find the value of k for which the given value is a solution of the given equation: (i) 7x^2+k x-3=0,\ \ x=2//3 (ii) x^2-x(a+b)+k=0,\ \ x=a

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

Determine whether the given values of x are zeroes of the given polynomial or not: x^2+6x+5;x=-1,x=-5

In the following, determine the set of values of k for which the given quadratic equation has real roots: (i) 2x^2-5x-k=0 (ii) k x^2+6x+1=0

In the following, determine the set of values of k for which the given quadratic equation has real roots: (i) x^2-k x+9=0 (ii) 2x^2+k x+2=0

In the following, determine the set of values of k for which the given quadratic equation has real roots: (i) 2x^2+3x+k=0 (ii) 2x^2+k x+3=0