document.write( "Question 949096: 6w+(23w^1/2)-104=0 \n" ); document.write( "
Algebra.Com's Answer #579398 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "6w+(23w^1/2)-104=0
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\"highlight%286w+%2B+23w%5E%281%2F2%29+-+104+=+0%29\"
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document.write( "Let \"highlight%28a+=+w%5E%281%2F2%29%29\"  
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document.write( "Then \"highlight%286w+%2B+23w%5E%281%2F2%29+-+104+=+0%29\" becomes: \"6a%5E2+%2B+23a+-+104+=+0\"
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document.write( "\"6a%5E2+%2B+39a+-+16a+-+104+=+0\"
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document.write( "3a(2a + 13) – 8(2a + 13) = 0
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document.write( "(3a – 8)(2a + 13) = 0
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document.write( "3a – 8 = 0                   OR                  2a + 13 = 0
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document.write( "\"a+=+8%2F3\"                        OR                  \"a+=+-+13%2F2\"            \r
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document.write( "\"highlight%288%2F3+=+w%5E%281%2F2%29%29\" ---------- Substituting \"8%2F3\" for a
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document.write( "\"highlight%28%288%2F3%29%5E2+=+w%5E%28%281%2F2%29+%2A+2%29%29\" ---- Squaring both sides
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document.write( "\"highlight_green%2864%2F9+=+w%29\"\r
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document.write( "\"-+13%2F2+=+w%5E%281%2F2%29\" ---------- Substituting \"-+13%2F2\" for a
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document.write( "No expression raised to a power results in a negative expression (< 0), so \"w+=+169%2F4\" is an EXTRANEOUS solution.
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document.write( "Therefore, only solution is: \"highlight_green%28w+=+64%2F9%29\" \n" );
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