document.write( "Question 40537: Find the x intercepts of y=x^2-4x+4 \n" ); document.write( "

Algebra.Com's Answer #25945 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y+=+x%5E2+-+4x+%2B+4\"$
\n" ); document.write( " $\"0+=+x%5E2+-+4x+%2B+4\"$
\n" ); document.write( " $\"0+=+x%5E2+-+2x+-+2x+%2B+4\"$
\n" ); document.write( " $\"0+=+%28x%5E2+-+2x%29+%2B+%28-2x+%2B+4%29\"$
\n" ); document.write( " $\"0+=+x%28x+-+2%29+-+2%28x+-+2%29\"$
\n" ); document.write( " $\"0+=+%28x+-+2%29%28x+-+2%29\"$
\n" ); document.write( "The x-intercept is at $\"2\"$ .
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B-4x%2B4+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-4%29%5E2-4%2A1%2A4=0\"$ .
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\n" ); document.write( " Discriminant d=0 is zero! That means that there is only one solution: $\"x+=+%28-%28-4%29%29%2F2%5C1\"$ .
\n" ); document.write( " Expression can be factored: $\"1x%5E2%2B-4x%2B4+=+1%28x-2%29%2A%28x-2%29\"$
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\n" ); document.write( " Again, the answer is: 2, 2.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-4%2Ax%2B4+%29\"$

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