document.write( "Question 925217: find two numbers whose sum is 13 and the difference of their squares is 39 \n" ); document.write( "

Algebra.Com's Answer #561359 by srinivas.g(540) $\"\"$ $\"About$

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let numbers be x, y
\n" ); document.write( " so $\"x%2By=+13\"$
\n" ); document.write( " $\"+x%5E2-y%5E2+=39\"$
\n" ); document.write( "Formulae: $\"+a%5E2-b%5E2+=+%28a%2Bb%29%2A%28a-b%29\"$
\n" ); document.write( " $\"+%28x%2By%29%2A%28x-y%29+=39\"$
\n" ); document.write( " put x+y= 13 in above equation
\n" ); document.write( " $\"+13%2A%28x-y%29+=39\"$
\n" ); document.write( " divide with 13 on both sides
\n" ); document.write( " $\"+13%2A%28x-y%29%2F13+=39%2F13\"$
\n" ); document.write( " $\"x-y=+3\"$
\n" ); document.write( " but x+y= 13 adding above equations
\n" ); document.write( " x-y= 3
\n" ); document.write( " x+y= 13
\n" ); document.write( " __________________________
\n" ); document.write( " 2x = 16
\n" ); document.write( " _________________________
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x=16
\n" ); document.write( "divide with 2 on both sides
\n" ); document.write( " $\"+2x%2F2+=+16%2F2\"$
\n" ); document.write( " x=8
\n" ); document.write( " put x= 8 in x-y =3
\n" ); document.write( " 8-y =3
\n" ); document.write( " move -y to the right
\n" ); document.write( " 8=y+3
\n" ); document.write( " move 3 to the left
\n" ); document.write( " 8-3 = y
\n" ); document.write( " 5= y
\n" ); document.write( "so y= 5
\n" ); document.write( " result : x=8 , y=5
\n" ); document.write( " \n" ); document.write( "

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