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# 8.6 Radical Equations - the original equation gives a false...

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8.6 Solving Equations  To solve equations involving radical expressions, isolate the radical on one side; then raise both  sides of the equation to a power equal to the root index of the radical.  This will remove the radical,  and  the  equation  can   be   solved   in   the   usual  manner.   However, it  is   important to   check  for  extraneous solutions.  An extraneous solution is one that is solved correctly but, when substituted in

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Unformatted text preview: the original equation, gives a false or undefined solution. Solve and check: 1. 7 4 5 = + x 2. 5 2 3-= + x 3. 6 2 8 4 = +-x 4. 6 1 3 =-+ w 5. 5 3-=-y y 6 . 3 2 21 4 + = + y y 7. 4 3 3 = + x 8. 5 3 6 3 x-= 9. 10 4 3 7 3 =-+ x 10. 2 7 3 12-=-t t 11. 4 2 9 1 +-+ = -x x...
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