Question

If p1 p2 = 2(q1 + q2 ), then at least one of the equations x2 + p1 x + q1 = 0 and x2 + p2 x + q2 = 0 has

(1) real roots

(2) non-real roots

(3) purely imaginary roots

(4) none of these

Answer 1

Correct option (1) real roots

Explanation:

The given equations are

Now, sum of the discriminants

Hence, at least one of the discriminants is non-negative. This implies at least one of the equation has real roots.