Thread: Algebraic problem q.

The roots of x^2 + px + q =0 are doublet he roots of x^2 - (b+c)x + bc =0. Write p and q in terms of b and c.
Can someone show me how to do this please?

For

Sum of roots is:

Product of roots is:

Clearly b and c are the roots of this equation (substitute into the equation and see). Therefore the roots of are 2b and 2c.

Sum of roots for this equation is therefore


Product of roots is: therefore