Question

The roots of the equation x^2 − √28x + 2 = 0 are p and q, where p > q. Without using a calculator, express p/q in the form m + √n , where m and n are integers.

Answer 1

the roots can be easily determined from the equation 1 by putting D=0. The roots are: D < 0: When D is negative, the equation will have no real roots. This means the graph of the equation will not intersect x-axis. Let us take some examples for better understanding. Since D>0, the equation will have two real and distinct roots.