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Question

The common root of x23x+2 and x25x+6=0

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Solution

x23x+2=0x22xx+2=0x(x2)1(x2)=0(x1)(x2)=0x=1,2 and x25x+6=0x22x3x+6=0x(x2)3(x2)=0(x3)(x2)=0x=2,3
So the common root is 2

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