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Question

Find the value of x
1x+5+1x=1x4

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Solution

1x+5+1x=1x4x+x+5x(x+5)=1x4(2x+5)(x4)=x2+5x2x23x20=x2+5xx28x20=0x210x+2x20=0(x10)(x+2)=0x=2,10











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