Quadratic eq solution

Which of the following is a quadratic equation?

Which of the following is not a quadratic equation?

Which of the following are solutions to the quadratic equation (x-1)^(2)-(4)/(9) ?

Find the quadratic equation whose solution set is {-2, 3} .

For the quadratic equation 3x^(2)+5x-2=0 , show that : (i) x=(1)/(3) is a solution. (ii) x=3 is not a solution.

x^(2)+2kx=(j)/(3) In the quadratic equation above, j and k are constant. What are the solutions of x ?

If x=-(1)/(2) is a solution of the quadratic equation 3x^(2)+2kx-3=0 , find the velue of k.

x ^ 2 - ( k ) /(2) x = 2p In the quadratic equation above, k and p are constants. What are the solutions for x ?

If (2)/(3) and -(1)/(2) are solution of quadratic equation 6x^(2)+ax-b=0 , find the values of a and b.