If 1 is a root of the equation ay2 + ay + 3 = 0 and y2 + y + b = 0 then find the value of ab.
Given that y = 1 is a root of the equation ay2 + ay + 3 = 0
a.12 + a.1 + 3 = 0
a + a + 3 = 0
2a + 3 = 0
a = - 3/2
Also y = 1 is a root of the equation y2 + y + b = 0
12 + 1 + b = 0
2 + b = 0
b = - 2
Thus the value of ab = 3