document.write( "Question 1118712: Write 9/400 as the difference of two consecutive number with exponent as –2 \n" ); document.write( "
Algebra.Com's Answer #734123 by ikleyn(52858)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Write 9/400 as the difference of two consecutive \"integer\" \"highlight%28cross%28number%29%29\" numbers with \"highlight%28cross%28exponent%29%29\" exponents \"highlight%28cross%28as%29%29\" –2.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "\"1%2Fx%5E2\" - \"1%2F%28x%2B1%29%5E2\" = \"9%2F400\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"%28%28x%2B1%29%5E2+-x%5E2%29%2F%28%28x%5E2%2A%28x%2B1%29%5E2%29%29\" = \"9%2F400\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"%282x%2B1%29%2F%28x%5E2%2A%28x%2B1%29%5E2%29\" = \"9%2F400\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At this point, the solution can be find mentally and momentarily:  x = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   At x= 4,  \"%282x%2B1%29%2F%28x%5E2%2A%28x%2B1%29%5E2%29\" = \"%282%2A4%2B1%29%2F%284%2A5%29%5E2\" = \"9%2F20%5E2\" = \"9%2F400\".   ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "By the way,  x= -5  also works and is another solution :   \"1%2F%28-4%29%5E2\" - \"1%2F%28-5%29%5E2%29\" = \"9%2F400\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "===============\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "OK,  I admit that you don't know English perfectly.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "But do you know at least your native language ? ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );