document.write( "Question 395382: 1. 5/2x^2-3/2x-1/4=0\r
\n" ); document.write( "\n" ); document.write( "2. 12m^2-192=0\r
\n" ); document.write( "\n" ); document.write( "if you could write out how to do it it would help me so much thanks
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Algebra.Com's Answer #280587 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2F2%29x%5E2-%283%2F2%29x-1%2F4=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"10x%5E2-6x-1=0\" Multiply EVERY term by the LCD 4 to clear out the fractions.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"10x%5E2-6x-1\" is in the form of \"Ax%5E2%2BBx%2BC\" where \"A=10\", \"B=-6\", and \"C=-1\"\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-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2810%29%28-1%29+%29%29%2F%282%2810%29%29\" Plug in \"A=10\", \"B=-6\", and \"C=-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%2810%29%28-1%29+%29%29%2F%282%2810%29%29\" Negate \"-6\" to get \"6\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36-4%2810%29%28-1%29+%29%29%2F%282%2810%29%29\" Square \"-6\" to get \"36\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36--40+%29%29%2F%282%2810%29%29\" Multiply \"4%2810%29%28-1%29\" to get \"-40\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+36%2B40+%29%29%2F%282%2810%29%29\" Rewrite \"sqrt%2836--40%29\" as \"sqrt%2836%2B40%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+76+%29%29%2F%282%2810%29%29\" Add \"36\" to \"40\" to get \"76\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+sqrt%28+76+%29%29%2F%2820%29\" Multiply \"2\" and \"10\" to get \"20\". \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%286+%2B-+2%2Asqrt%2819%29%29%2F%2820%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+=+%286%2B2%2Asqrt%2819%29%29%2F%2820%29\" or \"x+=+%286-2%2Asqrt%2819%29%29%2F%2820%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%283%2Bsqrt%2819%29%29%2F%2810%29\" or \"x+=+%283-sqrt%2819%29%29%2F%2810%29\" Reduce. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x+=+%283%2Bsqrt%2819%29%29%2F%2810%29\" or \"x+=+%283-sqrt%2819%29%29%2F%2810%29\"\r
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\n" ); document.write( "\n" ); document.write( "# 2 \r
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\n" ); document.write( "\n" ); document.write( "\"12m%5E2-192=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "Notice that the quadratic \"12m%5E2-192\" is in the form of \"Am%5E2%2BBm%2BC\" where \"A=12\", \"B=0\", and \"C=-192\"\r
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\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"m\":\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%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( "\"m+=+%28%280%29+%2B-+sqrt%28+%280%29%5E2-4%2812%29%28-192%29+%29%29%2F%282%2812%29%29\" Plug in \"A=12\", \"B=0\", and \"C=-192\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+sqrt%28+0-4%2812%29%28-192%29+%29%29%2F%282%2812%29%29\" Square \"0\" to get \"0\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+sqrt%28+0--9216+%29%29%2F%282%2812%29%29\" Multiply \"4%2812%29%28-192%29\" to get \"-9216\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+sqrt%28+0%2B9216+%29%29%2F%282%2812%29%29\" Rewrite \"sqrt%280--9216%29\" as \"sqrt%280%2B9216%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+sqrt%28+9216+%29%29%2F%282%2812%29%29\" Add \"0\" to \"9216\" to get \"9216\"\r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+sqrt%28+9216+%29%29%2F%2824%29\" Multiply \"2\" and \"12\" to get \"24\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B-+96%29%2F%2824%29\" Take the square root of \"9216\" to get \"96\". \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%280+%2B+96%29%2F%2824%29\" or \"m+=+%280+-+96%29%2F%2824%29\" Break up the expression. \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+%2896%29%2F%2824%29\" or \"m+=++%28-96%29%2F%2824%29\" Combine like terms. \r
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\n" ); document.write( "\n" ); document.write( "\"m+=+4\" or \"m+=+-4\" Simplify. \r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"m+=+4\" or \"m+=+-4\" \r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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