document.write( "Question 135380: calculate the value of the discriminant of x^2 + 2x +1 = 0, and show work. \n" ); document.write( "

Algebra.Com's Answer #99253 by smarty1994(10) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B2x%2B1+=+0\"$ ) has the following solutons:
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\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
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\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%282%29%5E2-4%2A1%2A1=0\"$ .
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\n" ); document.write( " Discriminant d=0 is zero! That means that there is only one solution: $\"x+=+%28-%282%29%29%2F2%5C1\"$ .
\n" ); document.write( " Expression can be factored: $\"1x%5E2%2B2x%2B1+=+1%28x--1%29%2A%28x--1%29\"$
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\n" ); document.write( " Again, the answer is: -1, -1.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B1+%29\"$

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