(p^2)(x^2)-12x+p+7=0 has the root 3/2..find the value of p.
please help,show step by step the answer that u get..thanks
To explain HallsOfIvy's solution, remember that the roots of an equation are the values of when . Here, you are given an equation in the form with and for some . Since you are given that one root is , you know that when (which is our case), . So you can just substitute into and solve for , to find which values of (there may be more than one) satisfy the equation when .