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Question
Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`
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Solution
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`
`[( sqrt7 - 2 )^2]/[ (sqrt7)^2 - (2)^2] = asqrt7 + b`
`[ 7 + 4 - 4sqrt7 ]/[ 7 - 4 ] = asqrt7 + b`
`[ 11 - 4sqrt7 ]/[ 3 ] = asqrt7 + b`
`a = -4/3, b = 11/3`
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