Question

Find the value of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

Answer 1

Step-by-step explanation:

We first have to find the roots of the second equation by quadratic formula

And then, use those roots in equation first by comparing the constant term of first equation and the equation of formation of the quadratic equation, i.e.,

${x}^{2} - {sum of zeros} + product of zeros$