Q. 404.3( 3 Votes )

If 1 is a root of the equation ay2 + ay + 3 = 0 and y2 + y + b = 0 then find the value of ab.

Answer :

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


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