If 15^ and 30^ are the roots of the equation x^2+p x+q=0 , then p q=

Step-by-step solution

15^ = (45-30)^ = 3 -1 3 +1 15^ + 30^ =-p p= -4 3 ( 3 +1) q= 15^ 30^ = 3 -1 3 ( 3 +1) q= 3 -1 3 ( 3 +1) p q= -4 3 ( 3 +1) ( 3 -1) 3 ( 3 +1) p q= -4( 3 -1) 3( 3 +1)^2 = 10-6 3 3 p q= 10-6 3 3 Option (2) is correct.