Examples - 24 ) 2 ( 11 ) 2 ( 2 = +-+-x x Let 2-= x u 2 2 )...

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11.6 Examples 0 35 12 2 4 = + + a a We factored this in class, but I want to show you how to do it by substitution: Let 2 a u = 4 2 a u = So now we have: 0 35 12 2 = + + u u This can be factored like we did in class: 0 ) 5 )( 7 ( = + + u u So: 0 7 = + u or 0 5 = + u 7 - = u 5 - = u But remember 2 a u = So: 7 2 - = a or 5 2 - = a 7 - ± = a 5 - ± = a 7 i a ± = 5 i a ± = Ans: { } 5 , 5 , 7 , 7 i i i i - - Another example I would like to add:
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Unformatted text preview: 24 ) 2 ( 11 ) 2 ( 2 = +-+-x x Let 2-= x u 2 2 ) 2 (-= x u So we have: 24 11 2 = + + u u ) 3 )( 8 ( = + + u u 8 = + u or 3 = + u 8-= u 3-= u 8 2-=-x or 3 2-=-x 6-= x 1-= x Ans: { } 1 , 6--...
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