document.write( "Question 197253: can you help me with these problems?? thank you so much\r
\n" ); document.write( "\n" ); document.write( "1.) \"a%5E2-4a%2B3=0\"
\n" ); document.write( "2.) \"x%5E2-4x-10=0\"
\n" ); document.write( "3.) \"3b%5E2%2B4b-2=0\"
\n" ); document.write( "4.) \"2c%5E2%2B5c-2=0\"
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Algebra.Com's Answer #147889 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'll do the first two to get you started...\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-4a%2B3=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic in the form of \"Aa%5E2%2BBa%2BC\" where \"A=1\", \"B=-4\", and \"C=3\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for a\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%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( "\"a+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%283%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-4\", and \"C=3\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%283%29+%29%29%2F%282%281%29%29\" Negate \"-4\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+sqrt%28+16-4%281%29%283%29+%29%29%2F%282%281%29%29\" Square \"-4\" to get \"16\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+sqrt%28+16-12+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%283%29\" to get \"12\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+sqrt%28+4+%29%29%2F%282%281%29%29\" Subtract \"12\" from \"16\" to get \"4\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+sqrt%28+4+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B-+2%29%2F%282%29\" Take the square root of \"4\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%284+%2B+2%29%2F%282%29\" or \"a+=+%284+-+2%29%2F%282%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+%286%29%2F%282%29\" or \"a+=++%282%29%2F%282%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"a+=+3\" or \"a+=+1\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"a+=+3\" or \"a+=+1\" \r
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\n" ); document.write( "\n" ); document.write( "# 2\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x-10=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic in the form of \"Ax%5E2%2BBx%2BC\" where \"A=1\", \"B=-4\", and \"C=-10\"\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-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Plug in \"A=1\", \"B=-4\", and \"C=-10\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Negate \"-4\" to get \"4\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16-4%281%29%28-10%29+%29%29%2F%282%281%29%29\" Square \"-4\" to get \"16\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16--40+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28-10%29\" to get \"-40\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16%2B40+%29%29%2F%282%281%29%29\" Rewrite \"sqrt%2816--40%29\" as \"sqrt%2816%2B40%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+56+%29%29%2F%282%281%29%29\" Add \"16\" to \"40\" to get \"56\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+56+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+2%2Asqrt%2814%29%29%2F%282%29\" Simplify the square root (note: If you need help with simplifying square roots, check out this solver) \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%29%2F%282%29+%2B-+%282%2Asqrt%2814%29%29%2F%282%29\" Break up the fraction. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+2+%2B-+sqrt%2814%29\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+2%2Bsqrt%2814%29\" or \"x+=+2-sqrt%2814%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+2%2Bsqrt%2814%29\" or \"x+=+2-sqrt%2814%29\" \r
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\n" ); document.write( "\n" ); document.write( "which approximate to \"x=5.742\" or \"x=-1.742\" \r
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