document.write( "Question 449472: What is the child's age if increased by 3 years which make it a perfect square. Child's age if decreased by 3 years which then square root of that perfect square \n" ); document.write( "
Algebra.Com's Answer #309228 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
What is the child's age if increased by 3 years which make it a perfect square.
\n" ); document.write( " Child's age if decreased by 3 years which then square root of that perfect square
\n" ); document.write( ":
\n" ); document.write( "Equation for this would be:
\n" ); document.write( "\"sqrt%28x%2B3%29\" = x - 3
\n" ); document.write( "Square both sides
\n" ); document.write( "x + 3 = (x-3)^2
\n" ); document.write( "x + 3 = x^2 - 6x + 9
\n" ); document.write( "0 = x^2 - 6x - x + 9 -3
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 - 7x + 6 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-6)(x-1)
\n" ); document.write( "two solutions, but the only reasonable one is
\n" ); document.write( "x = 6 is the child's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( "\"sqrt%286%2B3%29\" = 6 - 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );