document.write( "Question 1189850: Is this problem possible to solve?
\n" ); document.write( "I have tried applying the Pythagorean theorem, quadratic equations etc. but have been unable to come up with a solvable equation.\r
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\n" ); document.write( "\n" ); document.write( "The diagonal measure of a small TV screen is 1 inch greater than the length and 2 inches
\n" ); document.write( "greater than the width. Find the length and width\r
\n" ); document.write( "\n" ); document.write( "I would appreciate if anyone can point out something I am missing, or if this is a flawed problem.
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Algebra.Com's Answer #821346 by greenestamps(13203)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Let the diagonal length be x
\n" ); document.write( "Then the length is x-1 and the width is x-2

\n" ); document.write( "Apply the Pythagorean Theorem:

\n" ); document.write( "\"%28x-1%29%5E2%2B%28x-2%29%5E2=x%5E2\"
\n" ); document.write( "\"x%5E2-2x%2B1%2Bx%5E2-4x%2B4=x%5E2\"
\n" ); document.write( "\"x%5E2-6x%2B5=0\"
\n" ); document.write( "\"%28x-5%29%28x-1%29=0\"

\n" ); document.write( "\"x=5\" or \"x=1\"

\n" ); document.write( "x=1 doesn't work; it makes the length 0 and the width -1, which is nonsense.

\n" ); document.write( "x=5 works. The length is x-1=4 and the width is x-2=3; then 3^2+4^2=5^2

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