document.write( "Question 1076254: Use the discriminant to determine the number of x-intercepts of the graph of the equation.
\n" ); document.write( "y = x^2 − 14x + 49
\n" ); document.write( "........... x-intercept(s) \n" ); document.write( "

Algebra.Com's Answer #690944 by josmiceli(19441) $\"\"$ $\"About$

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The discriminant is $\"+b%5E2+-+4%2Aa%2Ac+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+-14+\"$
\n" ); document.write( " $\"+c+=+49+\"$
\n" ); document.write( " $\"+b%5E2+-+4%2Aa%2Ac+=+%28-14%29%5E2+-+4%2A1%2A49+\"$
\n" ); document.write( " $\"+b%5E2+-+4%2Aa%2Ac+=+196+-+196+\"$
\n" ); document.write( " $\"+b%5E2+-+4%2Aa%2Ac+=+0+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "The is one x-intercept at
\n" ); document.write( " $\"+-b%2F%282a%29+=+-%28-14%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+7+\"$
\n" ); document.write( " $\"+x+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+x%5E2+-+14x+%2B+49+\"$
\n" ); document.write( " $\"+y+=+49+-+14%2A7+%2B+49+\"$
\n" ); document.write( " $\"+y+=+98+-+98+\"$
\n" ); document.write( " $\"+y+=+0+\"$
\n" ); document.write( "( 7.0 ) is the x-intercept
\n" ); document.write( "-------------------
\n" ); document.write( "Here's a plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+16%2C+-3%2C+16%2C+x%5E2+-+14x+%2B+49+%29+\"$ \n" ); document.write( "

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