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Question
Solve the following equation:
`sqrt(a/b)=(b/a)^(1-2x),` where a and b are distinct primes.
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Solution
`sqrt(a/b)=(b/a)^(1-2x)`
`rArr(a/b)^(1/2)=(a/b)^(-(1-2x))`
`rArr1/2=-(1-2x)`
`rArr1/2=2x - 1`
`rArr1/2+1=2x`
`rArr1/2+(1xx2)/(1xx2)=2x`
`rArr1/2+2/2=2x`
`rArr(1+2)/2=2x`
`rArr3/2=2x`
`rArrx=3/4`
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