document.write( "Question 319174: Solve the equation.
\n" ); document.write( "8x2 + 22x - 6 = 0
\n" ); document.write( "x = _____ (smaller value)
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Algebra.Com's Answer #228519 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"8x%5E2%2B22x-6=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"8x%5E2%2B22x-6\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=8\", \"B=22\", and \"C=-6\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r
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\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
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%2822%29+%2B-+sqrt%28+%2822%29%5E2-4%288%29%28-6%29+%29%29%2F%282%288%29%29\" Plug in \"A=8\", \"B=22\", and \"C=-6\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+sqrt%28+484-4%288%29%28-6%29+%29%29%2F%282%288%29%29\" Square \"22\" to get \"484\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+sqrt%28+484--192+%29%29%2F%282%288%29%29\" Multiply \"4%288%29%28-6%29\" to get \"-192\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+sqrt%28+484%2B192+%29%29%2F%282%288%29%29\" Rewrite \"sqrt%28484--192%29\" as \"sqrt%28484%2B192%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+sqrt%28+676+%29%29%2F%282%288%29%29\" Add \"484\" to \"192\" to get \"676\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+sqrt%28+676+%29%29%2F%2816%29\" Multiply \"2\" and \"8\" to get \"16\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B-+26%29%2F%2816%29\" Take the square root of \"676\" to get \"26\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-22+%2B+26%29%2F%2816%29\" or \"x+=+%28-22+-+26%29%2F%2816%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%29%2F%2816%29\" or \"x+=++%28-48%29%2F%2816%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1%2F4\" or \"x+=+-3\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+1%2F4\" or \"x+=+-3\" \r
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