document.write( "Question 1016841: (v^2 - 4v)^2 - 17(v^2 - 4v) +60 = 0\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far? Not sure where I went wrong.\r
\n" ); document.write( "\n" ); document.write( "let v = v^2 - 4v\r
\n" ); document.write( "\n" ); document.write( "v^2 - 17v +60 = 0
\n" ); document.write( "(v-12)(v-5) = 0
\n" ); document.write( "v-12 = 0 or v-5 = 0
\n" ); document.write( "v=12 or v=5
\n" ); document.write( "v^2 = 12 or v^2 = 5
\n" ); document.write( "√v^2 = =-√12 or √v^2 = +-√5
\n" ); document.write( "v = +-2√3 or v = +-√5 \n" ); document.write( "
Algebra.Com's Answer #633223 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "(v^2 - 4v)^2 - 17(v^2 - 4v) +60 = 0\r
\n" ); document.write( "\n" ); document.write( "This is what I have so far? Not sure where I went wrong.\r
\n" ); document.write( "\n" ); document.write( "let v = v^2 - 4v\r
\n" ); document.write( "\n" ); document.write( "v^2 - 17v +60 = 0
\n" ); document.write( "(v-12)(v-5) = 0
\n" ); document.write( "v-12 = 0 or v-5 = 0
\n" ); document.write( "v=12 or v=5
\n" ); document.write( "v^2 = 12 or v^2 = 5
\n" ); document.write( "√v^2 = =-√12 or √v^2 = +-√5
\n" ); document.write( "v = +-2√3 or v = +-√5
\n" ); document.write( "
The first mistake you made was to substitute the same variable for itself. This can certainly can be very confusing.
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document.write( "Therefore, I'd suggest that you not do so.
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document.write( "\"%28v%5E2+-+4v%29%5E2+-+17%28v%5E2+-+4v%29+%2B+60+=+0\"
\n" );
document.write( "Let \"a+=+v%5E2+-+4v\"
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document.write( "\"a%5E2+-+17a+%2B+60+=+0\" ------- Substituting a for \"v%5E2+-+4v\"
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document.write( "(a - 12)(a - 5) = 0
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document.write( "a = 12        OR         a = 5\r
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document.write( "\n" );
document.write( "a = 12
\n" );
document.write( "\"v%5E2+-+4v+=+12\" ------- Setting \"v%5E2+-+4v\" equal to 12
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document.write( "\"v%5E2+-+4v+-+12+=+0\"
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document.write( "(v - 6)(v + 2) = 0
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document.write( "Therefore, \"highlight_green%28matrix%283%2C1%2Cv+=+6%2C+or%2C+v+=+-+2%29%29\"\r
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document.write( "\n" );
document.write( "a = 5
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document.write( "\"v%5E2+-+4v+=+5\" ------- Setting \"v%5E2+-+4v\" equal to 5
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document.write( "\"v%5E2+-+4v+-+5+=+0\"
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document.write( "(v - 5)(v + 1) = 0
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document.write( "Therefore, \"highlight_green%28matrix%283%2C1%2Cv+=+5%2C+or%2C+v+=+-+1%29%29\" \n" );
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