document.write( "Question 198545: 5x(squared)=4x(squared)-4x \n" ); document.write( "
Algebra.Com's Answer #149059 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

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\n" ); document.write( "Given: \"system%285x%5E2=4x%5E2-4x%29\"\r
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\n" ); document.write( "\n" ); document.write( "Continuing,
\n" ); document.write( "\"5x%5E2-4x%5E2=4x=0\"
\n" ); document.write( "\"x%5E2%2B4x=0\"\r
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\n" ); document.write( "\n" ); document.write( "We complete the square to get the vertex;
\n" ); document.write( "\"%28x%5E2%2B4x%2Bhighlight%284%29%29-highlight%284%29=0\", take half of the middle constant, then squared = \"%281%2F2%29%284%29=2%5E2=highlight%284%29\"\r
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\n" ); document.write( "\n" ); document.write( "Then \"add\" and also \"subtract\" to the eqn, so it won't affect the operation:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%5E2-4=0\" via vertex form, \"y=a%28x-h%29%5E2%2Bk\", where\"system%28h=red%28x%29%2Ck=red%28y%29%29\"\r
\n" ); document.write( "\n" ); document.write( "So the vertex, \"red%28x=-2%29\", \"red%28y=-4%29\" ---> (-2,-4)\r
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\n" ); document.write( "\n" ); document.write( "For the x-Intercept:
\n" ); document.write( "Continuing the Eqn,
\n" ); document.write( "\"x%5E2%2B4x=0\"
\n" ); document.write( "\"x%28x%2B4%29=0\"
\n" ); document.write( "\"red%28x=0%29\"; \"red%28x=-4%29\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo

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