document.write( "Question 470144: I need help. I am taking my final exam this weekend and I am doing the practice exam. I need desperately to understand step by step how to do the following equation as I get every example wrong.
\n" ); document.write( "a^2+3a-28=0
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #322501 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm going to use the variable x instead of 'a'.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3x-28=0\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"x%5E2%2B3x-28\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=3\", and \"C=-28\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%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( "\"x+=+%28-%283%29+%2B-+sqrt%28+%283%29%5E2-4%281%29%28-28%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=3\", and \"C=-28\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9-4%281%29%28-28%29+%29%29%2F%282%281%29%29\" Square \"3\" to get \"9\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9--112+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-28%29\" to get \"-112\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+9%2B112+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%289--112%29\" as \"sqrt%289%2B112%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+121+%29%29%2F%282%281%29%29\" Add \"9\" to \"112\" to get \"121\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+121+%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( "\"x+=+%28-3+%2B-+11%29%2F%282%29\" Take the square root of \"121\" to get \"11\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+%2B+11%29%2F%282%29\" or \"x+=+%28-3+-+11%29%2F%282%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%288%29%2F%282%29\" or \"x+=++%28-14%29%2F%282%29\" Combine like terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+4\" or \"x+=+-7\" Reduce. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+4\" or \"x+=+-7\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );