若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题

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若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题解

若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题
若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=
如题

若A,B满足a^2-2a=3,b^2-2b=3,则la-bl=如题

∵a.b满足a²-2a=3,b²-2b=3
∴a,b是方程x²-2x-3=0的两个根
∴a+b=2
ab=-3
∴/a-b/
=√(a-b)²
=√(a+b)²-4ab
=√4+12
=√16
=4