Two equations are given below. Find the solution of the questions asked based on the equations.
Equation I: x2 - p(x) + q = 0
Equation II: x2 - r(x) - 30 = 0
(i) LCM and HCF of the roots of equation 1 are 54 and 3 respectively but 3 is not the root of equation 1. Find the value of r2 - p + q.
(ii) Difference of the roots of equation II is 13 and r < 0 . Find the roots of equation II.
1
157 and -3, -10
2
157 and 5,3
3
162 and 3, 10
4
160 and -10,-3
5
178 and 3, -10