document.write( "Question 468789: Please help me slove this quadratic equation: In two-digit number, the tens digit is 5 less than the ones digit. The number is 14 greater than the product of the digits. Find the number. \n" ); document.write( "

Algebra.Com's Answer #321634 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Let x is the tens digit
\n" ); document.write( "Let y is the ones digit
\n" ); document.write( "Then number is $\"10x%2By\"$
\n" ); document.write( "the tens digit is 5 less than the ones digit, then $\"y-x=5\"$ .
\n" ); document.write( "The number is 14 greater than the product of the digits, then $\"10x%2By-xy=14\"$
\n" ); document.write( "The system of equations
\n" ); document.write( " $\"system%28y-x=5%2C10x%2By-xy=14%29\"$
\n" ); document.write( "Use the substitution method
\n" ); document.write( "From the first equation $\"y=5%2Bx\"$
\n" ); document.write( " $\"10x%2B%285%2Bx%29-x%285%2Bx%29=14\"$
\n" ); document.write( " $\"10x%2B5%2Bx-5x-x%5E2-14=0\"$
\n" ); document.write( " $\"x%5E2-6x%2B9=0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%286+%2B-+sqrt%28+0%29%29%2F2+\"$
\n" ); document.write( " $\"x=3\"$ the tens digit
\n" ); document.write( " $\"y=5%2B3=8\"$ the ones digit
\n" ); document.write( "The number is 38 \n" ); document.write( "

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