document.write( "Question 979838: Television screens are usually measured by the length of its
\n" ); document.write( "diagonal. The television set has a 60 – inch diagonal. the
\n" ); document.write( "screen is 12 inches wider than its height. Find the
\n" ); document.write( "dimensions of the screen. THANKS IN ADVANCE
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Algebra.Com's Answer #601090 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
x, width
\n" ); document.write( "y, height
\n" ); document.write( "diagonal is a hypotenuse of right triangle with legs x and y.\r
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\n" ); document.write( "\n" ); document.write( "\"12%2By=x\", and x, are the legs.
\n" ); document.write( "\"x%5E2%2By%5E2=60%5E2\"-----Pythagorean Theorem, because Right Triangle;
\n" ); document.write( "\"%2812%2By%29%5E2%2By%5E2=60%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"144%2B24y%2By%5E2%2By%5E2=3600\"\r
\n" ); document.write( "\n" ); document.write( "\"2y%5E2%2B24y%2B144=3600\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B12y%2B72=1800\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B12y%2B72-1800=0\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B12y-1728=0\"\r
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\n" ); document.write( "\n" ); document.write( "You can factorize the constant nonvariable term.
\n" ); document.write( "12*12*12=2*...... but if you don't want to check all of that, use discriminant.
\n" ); document.write( "\"%2812%29%5E2-4%2A%28-1728%29=144%2B4%2A1728=7056=84%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-12%2B84%29%2F2\", based on formula for general solution to quadratic equation, jumping through a couple of steps.
\n" ); document.write( "\"highlight%28y=36%29\".\r
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\n" ); document.write( "\n" ); document.write( "Now find x.
\n" ); document.write( "\"x=12%2By\"
\n" ); document.write( "\"x=12%2B36\"
\n" ); document.write( "\"highlight%28x=48%29\".
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