document.write( "Question 125014: the difference between two times the square of a number and five times the number is 75. What is the number? \n" ); document.write( "

Algebra.Com's Answer #91679 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "the difference between two times the square of a number and five times the number is 75. \r\n" );
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document.write( "Look at the red words:\r\n" );
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document.write( "the difference between two times the square of a number and five times the number is 75. 	\r\n" );
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document.write( "Replace each by x.\r\n" );
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document.write( "the difference between two times the square of x and five times x is 75. \r\n" );
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document.write( "Look at the blue words:\r\n" );
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document.write( "the difference between two times the square of x and five times x is 75. \r\n" );
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document.write( "Replace them by x²\r\n" );
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document.write( "the difference between two times x² and five times x is 75.\r\n" );
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document.write( "Look at the red words:\r\n" );
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document.write( "the difference between two times x² and five times x is 75.\r\n" );
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document.write( "Replace them by 5x\r\n" );
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document.write( "the difference between two times x² and 5x is 75\r\n" );
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document.write( "Look at the blue words:\r\n" );
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document.write( "the difference between two times x² and 5x is 75.\r\n" );
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document.write( "Replace them by 2x²\r\n" );
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document.write( "the difference between 2x² and 5x is 75.\r\n" );
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document.write( "Look at the red words:\r\n" );
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document.write( "the difference between 2x² and 5x is 75.\r\n" );
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document.write( "Replace them by the subtraction of the first minus the second,\r\n" );
document.write( "or 2x² - 5x\r\n" );
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document.write( "2x² - 5x is 75.\r\n" );
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document.write( "Look at the blue word:\r\n" );
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document.write( "2x² - 5x is 75.\r\n" );
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document.write( "Replace it by an equal sign \" = \":\r\n" );
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document.write( "2x² - 5x = 75.\r\n" );
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document.write( "Solve that:\r\n" );
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document.write( "2x² - 5x - 75 = 0\r\n" );
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document.write( "Factoring:\r\n" );
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document.write( "(2x - 15)(x + 5) = 0\r\n" );
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document.write( "2x - 15 = 0 gives solution x = \r\n" );
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document.write( "x + 5 = 0 gives solution x = -5\r\n" );
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document.write( "Edwin

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