document.write( "Question 1077838: if x+y=-1 and xy=-12, find the value of x^2+y^2 \n" ); document.write( "

Algebra.Com's Answer #692359 by ikleyn(52800) $\"\"$ $\"About$

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document.write( " =  =  = (-1)^2 - 2*(-12) = 1 + 24 = 25.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The key is to present $\"x%5E2%2By%5E2\"$ as a combination of (x+y) (and possibly its degrees) and xy. \r
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\n" ); document.write( "\n" ); document.write( "Then to replace in this expression (x+y) by the given number, as well as to replace xy by the other given number.\r
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\n" ); document.write( "\n" ); document.write( "This way ALWAYS works, in any case you can meet in your practice.\r
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