document.write( "Question 282231: use the quadratic formula to determine the x-intercept problem = f(x)=1/4x^2 \n" ); document.write( "

Algebra.Com's Answer #204946 by oberobic(2304) $\"\"$ $\"About$

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 $\"0.25x%5E2%2B0x%2B0+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%280%29%5E2-4%2A0.25%2A0=0\"$ .
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\n" ); document.write( " Discriminant d=0 is zero! That means that there is only one solution: $\"x+=+%28-%280%29%29%2F2%5C0.25\"$ .
\n" ); document.write( " Expression can be factored: $\"0.25x%5E2%2B0x%2B0+=+0.25%28x-0%29%2A%28x-0%29\"$
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\n" ); document.write( " Again, the answer is: 0, 0.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+0.25%2Ax%5E2%2B0%2Ax%2B0+%29\"$

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