document.write( "Question 82127This question is from textbook
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\n" ); document.write( "1. solve by completeing the square. p2 - 8p = 0.\r
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Algebra.Com's Answer #58834 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "please assist me in: \r\n" );
document.write( "1. solve by completing the square. p2 - 8p = 0. \r\n" );
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document.write( "     p2 - 8p = 0\r\n" );
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document.write( "Multiply the coefficient of p, which is -8 by 1/2.\r\n" );
document.write( "That gives -4.  Square -4. That gives +16. Add 16\r\n" );
document.write( "to both sides of the equation:\r\n" );
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document.write( "p2 - 8p + 16 = 0 + 16\r\n" );
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document.write( "Factor the left side. The right side is just 16\r\n" );
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document.write( "(p - 4)(p - 4) = 16\r\n" );
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document.write( "The left side can be written (p - 4)2\r\n" );
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document.write( "      (p - 4)2 = 16\r\n" );
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document.write( "Use the principle of square roots:\r\n" );
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document.write( "         p - 4 = ±Ö16\r\n" );
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document.write( "16 is the square of 4, so 4 is the positive square root of 16\r\n" );
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document.write( "         p - 4 = ±4\r\n" );
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document.write( "Add 4 to both sides:\r\n" );
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document.write( "             p = 4 ± 4\r\n" );
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document.write( "Using the +, p = 4 + 4 = 8\r\n" );
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document.write( "Using the -, p = 4 - 4 = 0\r\n" );
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document.write( "The solutions are 8 and 0.\r\n" );
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document.write( "2. solve by graphing x2 + 6x - 2 = 0 \r\n" );
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document.write( "Write this as the system of equations by\r\n" );
document.write( "letting y = the left side and y = the right side:\r\n" );
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document.write( "y = x2 + 6x - 2\r\n" );
document.write( "y = 0\r\n" );
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document.write( "Graph each of these by getting some points on each\r\n" );
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document.write( "y = x2 + 6x - 2\r\n" );
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document.write( "Some points are (-7,5), (-6,-2), (-5,-7), (-4,-10), \r\n" );
document.write( "(-3, -11), (-2,-10), (-1,-7), (0,-2), (1,5)\r\n" );
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document.write( "Plotting these:\r\n" );
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document.write( "Now draw a smooth curve through all those points:\r\n" );
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document.write( "Now we draw the equation of y = 0, but this is just the x-axis\r\n" );
document.write( "so we want to find the points where the curve crosses the x-axis.\r\n" );
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document.write( "The best we can do is estimate what we think these points are.\r\n" );
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document.write( "I'll mark these on the x-axis and what I think they are:  \r\n" );
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document.write( "I \"guess\"-timate that the one on the right is about\r\n" );
document.write( "1/3 of the way between 0 and 1, so I'll call it .3.\r\n" );
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document.write( "I slso \"guess\"-timate that the one on the left is about\r\n" );
document.write( "1/3 of the way between -6 and -7, so I'll call it -6.3.\r\n" );
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document.write( "Edwin
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