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[] \OT1/cmr/m/n/9 = \OMS/cmsy/m/n/9 f\OT1/cmr/m/n/9 (\OMS/cmsy/m/n/9 ^^@[]\OML/
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[]\EU1/Calibri(0)/m/n/10 According to Theorem []54[], $[] [] \OT1/cmr/m/n/10 = 
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[]\OT1/cmr/m/n/10 ([])) = [][]([]) \OMS/cmsy/m/n/10 ^^@ [][]\OT1/cmr/m/n/10 ([]
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[]\EU1/Calibri(0)/m/n/10 Using Theorem []58[], we get a pair of equations: $[] 
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[]\EU1/Calibri(0)/m/n/10 The number $[] \OT1/cmr/m/n/10 = [] []$ \EU1/Calibri(0
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\EU1/Calibri(0)/m/n/10 consider our substitution $[] \OT1/cmr/m/n/10 = []([])$\
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\EU1/Calibri(0)/m/n/10 we have that $[]$ belongs to the interval $\OT1/cmr/m/n/
10 ([]\OML/cmm/m/it/10 ; []\OT1/cmr/m/n/10 )$ \EU1/Calibri(0)/m/n/10 and $[]\OT
1/cmr/m/n/10 ([]) = \OMS/cmsy/m/n/10 ^^@[]$\EU1/Calibri(0)/m/n/10 . Hence,
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[]\EU1/Calibri(0)/m/n/10 Since $[] \OMS/cmsy/m/n/10 ^^U []$\EU1/Calibri(0)/m/n/
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 ^^@1\OML/cmm/m/it/10 ; \OMS/cmsy/m/n/10 ^^@[]\OT1/cmr/m/n/10 ] \OMS/cmsy/m/n/1
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[][][][]\EU1/Calibri(0)/bx/n/10 Key Idea 39 Strategies for Solving Basic Equati
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\EU1/Calibri(0)/m/n/10 Solve the following equations and list the solutions whi
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\EU1/Calibri(0)/m/n/10 Hence, the equation $[]\OT1/cmr/m/n/10 ([][]) = []([][])
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[]\EU1/Calibri(0)/m/n/10 Unfortunately there is no systematic approach to solvi
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[]\EU1/Calibri(0)/m/n/10 The square–root terms are continuous on the intervals 
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1/Calibri(0)/m/n/10 and $\OT1/cmr/m/n/10 (\OMS/cmsy/m/n/10 ^^@1\OML/cmm/m/it/10
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[]$[]\OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 :[]\OT1/cmr/m/n/10 ) \OML/cmm/m/it/10 
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\EU1/Calibri(0)/m/n/10 always positive so we ignore $\OMS/cmsy/m/n/10 ^^@[]$\EU
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[]\EU1/Calibri(0)/m/n/10 There are many applications of our understanding of de
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Appendix A.
(Math1010print.answers
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