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Question

Solve for x:1x2+2x1=6x(x0,1,2).

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Solution

x1+2(x2)(x2)(x1)=6x=3x5x23x+2=6x3x25x=6x218x+123x2+13x+12=03x2+9x+4x+12=03x(x+3)+4(x+3)0(x+3)(3x+4)=0x=3,43

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