document.write( "Question 163727: WHAT TWO NUMBERS ADDED TOGHER EQUAL FIVE AND MULTIPLIED TOGETHER EQUAL NINE \n" ); document.write( "

Algebra.Com's Answer #120618 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=one number
\n" ); document.write( "And y= the other number\r
\n" ); document.write( "\n" ); document.write( "x+y=5-----------eq1
\n" ); document.write( "x*y=9------------eq2
\n" ); document.write( "Divide both sides of eq2 by y
\n" ); document.write( "x=9/y---------------substitute into eq1\r
\n" ); document.write( "\n" ); document.write( "(9/y)+y=5 multiply each term by y
\n" ); document.write( "9+y^2=5y subtract 5y from each side
\n" ); document.write( "y^2-5y+9=0 ----quadratic in standard form. Solve using quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%285+%2B-+sqrt%28%28+-5%29%5E2-4%2A1%2A9+%29%29%2F%282%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%285+%2B-+sqrt%28%2825-36%29%29%29%2F%282%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%285+%2Bi%2Asqrt%2811%29%29%2F%282%29+\"$ ------------------one number
\n" ); document.write( " $\"x+=+%285+-i%2Asqrt%2811%29%29%2F%282%29+\"$ ----------the other number\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(5 +i*sqrt(11))/(2)+(5 -i*sqrt(11))/(2)=10/2=5
\n" ); document.write( "And
\n" ); document.write( "{(5 +i*sqrt(11))/(2)}*{(5 -i*sqrt(11))/(2)}=25/4 +11/4=36/4=9\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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