document.write( "Question 832285: Jane's mother is 42 years older than her. The square of Janes age is equal to her mothers age. How old is Jane andher mother? \n" ); document.write( "

Algebra.Com's Answer #502034 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Jane's mother is 42 years older than her.
\n" ); document.write( "m = j + 42
\n" ); document.write( " The square of Jane's age is equal to her mothers age.
\n" ); document.write( "m = j^2
\n" ); document.write( "Therefore
\n" ); document.write( "j^2 = j + 42
\n" ); document.write( "j ^2 - j - 42 = 0; a quadratic equation
\n" ); document.write( "factors to
\n" ); document.write( "(j-7)(j+6) = 0
\n" ); document.write( "The positive solution (Jane has to be positive)
\n" ); document.write( "j = 7 years old
\n" ); document.write( "How old is Jane and her mother?
\n" ); document.write( "7 and 49 \n" ); document.write( "

\n" );