document.write( "Question 62566: When solving a quadratic equation you have 0,1,2 solutions. What does this mean \"graphically? \n" ); document.write( "
Algebra.Com's Answer #43332 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
When solving a quadratic equation you have\r\n" );
document.write( "0,1,2 solutions. What does this mean \"graphically?\r\n" );
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document.write( "If there are no real solutions, the graph does not \r\n" );
document.write( "cross the x axis.  It would either look like something like this:\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+%28x-4%29%5E2-%28x-4%29%2B2%29+\"\r\n" );
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document.write( "or like this\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+-%28x-2%29%5E2%2B%28x-2%29-2%29+\"\r\n" );
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document.write( "If there is just one real solution, the graph just touches but does\r\n" );
document.write( "not cross the x axis.  It would either look like something like this,\r\n" );
document.write( "which has the one solution x = 1\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+%28x-1%29%5E2%29+\"\r\n" );
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document.write( "or like this, whose one solution is x = 5\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+-%28x-5%29%5E2%29+\"\r\n" );
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document.write( "If there is just one real solution, the graph cross the x axis\r\n" );
document.write( "twice.  It would either look like something like this, whose\r\n" );
document.write( "two solutions are x = 2 and x = 4:\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+%28x-2%29%28x-4%29%29+\"\r\n" );
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document.write( "or like this, which has the two solutions x=1 and x = 5\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-3%2C+7%2C+-5%2C+5%2C+-x%5E2%2B6x-5%29+\"\r\n" );
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document.write( "Edwin
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