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

Find the value of k for which x=2 is a solution of the equation kx^2+2x-3=0

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 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

Find the value of k , if x=2 and y=1 is a solution of the equation 2x+3y=k .

Find the value of k for which x=2 is a root (solution) of equation kx^(2)+2x-3=0 .