document.write( "Question 1116344: solve 2x^2 +13x+ 20 = 0 using complete the square \n" ); document.write( "

Algebra.Com's Answer #731223 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "solve 2x^2 +13x+ 20 = 0 using complete the square
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\n" ); document.write( "\n" ); document.write( "The correct solution is THIS:\r
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document.write( "2x^2 +13x+ 20 = 0\r\n" );
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document.write( "x^2 + 6.5x + 10 = 0\r\n" );
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document.write( "x^2 + 6.5x + (6.5/2)^2 = -10 + (6.5/2)^2 = 0.5625\r\n" );
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document.write( "(x + 3.25)^2 = 0.75^2\r\n" );
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document.write( "x + 3.25 = +/- 0.75\r\n" );
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document.write( "x = -3.25 +/- 0.75\r\n" );
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document.write( "There are TWO solutions:  x= -3.25 + 0.75 = -2.5,   and   x= -3.25 - 0.75 = -4.\r\n" );
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document.write( "Check.  2*(-2.5)^2 +13*(-2.5) + 20 = 0   ! Correct !\r\n" );
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document.write( "        2*(-4)^2 +13*(-4) + 20 = 0       ! Correct ! \r\n" );
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