if x=1 is a common root of ax²+ ax +2 = 0 and x²+ x + b = 0, then the valu of ab
is
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ax²+ ax +2 = 0
=>a + a + 2 = 0
=>2a = -2
=>a= -1
x²+ x + b = 0
=> 1+ 1 + b =0
=>b = -2
Therefore ab= (-1)*(-2)
=2
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