document.write( "Question 337761: (p-2)^2=4p \n" ); document.write( "
Algebra.Com's Answer #242159 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28p-2%29%5E2=4p\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p%5E2-4p%2B4=4p\" FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p%5E2-4p%2B4-4p=0\" Subtract 4p from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p%5E2-8p%2B4=0\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ap%5E2%2Bbp%2Bc\" where \"a=1\", \"b=-8\", and \"c=4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for p\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29\" Start with the quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=-8\", and \"c=4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+sqrt%28+%28-8%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29\" Negate \"-8\" to get \"8\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+sqrt%28+64-4%281%29%284%29+%29%29%2F%282%281%29%29\" Square \"-8\" to get \"64\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+sqrt%28+64-16+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%284%29\" to get \"16\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+sqrt%28+48+%29%29%2F%282%281%29%29\" Subtract \"16\" from \"64\" to get \"48\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+sqrt%28+48+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288+%2B-+4%2Asqrt%283%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+%288%29%2F%282%29+%2B-+%284%2Asqrt%283%29%29%2F%282%29\" Break up the fraction. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+4+%2B-+2%2Asqrt%283%29\" Reduce. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"p+=+4%2B2%2Asqrt%283%29\" or \"p+=+4-2%2Asqrt%283%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answers are \"p+=+4%2B2%2Asqrt%283%29\" or \"p+=+4-2%2Asqrt%283%29\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "
\n" );