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Question

Solve the equation 5xx8x1=500
find the rational root .

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Solution

Given equation 5xx8x1=500
5x.8(x1x)=53.22
5x.23x3x=53.22
5x3.2(x3x)=1
(5.21/x)(x3)=1
(x3)log(5.21/x)=0
x3=0,log(5.21/x)=0
x1=3,5.21/x=1
21/x=(1/5)
x2=log52
Hence roots of the original equation are x1=3 and x2=log52

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