document.write( "Question 903826: Solving Quadratic Equations Using Square Root/Factoring\r
\n" ); document.write( "\n" ); document.write( "The aspect ratio of a TV screen is the ratio of the screen’s width to its height. For HDTVs, the aspect ratio is 16:9. What is the width and height of a 42 inch screen TV? (42 inches refers to the length of the screen’s diagonal.) HINT: Use the Pythagorean Theorem. Round your answers to the nearest hundredth.
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Algebra.Com's Answer #548319 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
16:9 means\r
\n" ); document.write( "\n" ); document.write( "width = 16x
\n" ); document.write( "height = 9x\r
\n" ); document.write( "\n" ); document.write( "for some number x\r
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\n" ); document.write( "\n" ); document.write( "a^2 + b^2 = c^2\r
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\n" ); document.write( "\n" ); document.write( "(16x)^2 + (9x)^2 = 42^2\r
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\n" ); document.write( "\n" ); document.write( "256x^2 + 81x^2 = 1764\r
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\n" ); document.write( "\n" ); document.write( "337x^2 = 1764\r
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\n" ); document.write( "\n" ); document.write( "x^2 = 1764/337\r
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\n" ); document.write( "\n" ); document.write( "x^2 = 5.23442136498517 (this is approximate)\r
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\n" ); document.write( "\n" ); document.write( "x = sqrt(5.23442136498517) (this is approximate)\r
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\n" ); document.write( "\n" ); document.write( "x = 2.28788578495194 (this is approximate)\r
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\n" ); document.write( "\n" ); document.write( "Width: 16x = 16*2.28788578495194 = 36.606172559231\r
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\n" ); document.write( "\n" ); document.write( "Height: 9x = 9*2.28788578495194 = 20.5909720645674\r
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\n" ); document.write( "\n" ); document.write( "Summary:\r
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\n" ); document.write( "\n" ); document.write( "Width: 36.606 inches\r
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\n" ); document.write( "\n" ); document.write( "Height: 20.591 inches\r
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\n" ); document.write( "\n" ); document.write( "Answers are approximate. I rounded the final values to 3 decimal places
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