Mathematics · Quadratic Equations

Given two equations below: I. A2 Q 9A + 18 = 0 II. 7B2 + 9B + (3R - 7) = 0 Note: - Q indicates the sign (+) or (-) in the equation. - Both the roots of equation I are positive. - R is the absolute difference of the roots of equation I. Which of the following statements is/are correct? 1. If S is the sum of the magnitudes of all roots of both equations, then S - R is 517. 2. The HCF of the sum of the roots of equation I and 7 times the product of the roots of equation II is 1. 3. 7 times the larger root of equation II is a perfect square.