document.write( "Question 115382: The sum of two intergers is -8 and their product is -20.wat are the integers? \n" ); document.write( "
Algebra.Com's Answer #87207 by solver91311(24713)\"\" \"About 
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Let one of the integers be p and the other be q.\r
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\n" ); document.write( "\n" ); document.write( "The sum of two integers is -8: \"p%2Bq=-8\"\r
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\n" ); document.write( "\n" ); document.write( "Their product is -20: \"pq=-20\"\r
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\n" ); document.write( "\n" ); document.write( "\"p%2Bq=-8\" => \"p=-8-q\"\r
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\n" ); document.write( "\n" ); document.write( "Substituting:
\n" ); document.write( "\"%28-8-q%29q=-20\"\r
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\n" ); document.write( "\n" ); document.write( "Distribute:
\n" ); document.write( "\"-8q-q%5E2=-20\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply by -1, Add -20 to both sides, arrange in standard form:
\n" ); document.write( "\"q%5E2%2B8q-20=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"10%2A%28-2%29=-20\" and \"10+%2B+%28-2%29=8\", so:\r
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\n" ); document.write( "\n" ); document.write( "\"q%5E2%2B8q-20=%28q%2B10%29%28q-2%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"q+=+-10\" or \"q+=+2\"\r
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\n" ); document.write( "\n" ); document.write( "Since \"pq=-20\" if \"q=-10\" then \"p=2\" and if \"q=2\" then \"p=-10\", so your integers are -10 and 2.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "\"-10%2B2=-8\"
\n" ); document.write( "\"%28-10%29%2A2=-20\"
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