document.write( "Question 433393: Evaluate the discriminant of each equation. How many real and imaginary solutions does it have.\r
\n" ); document.write( "\n" ); document.write( "1. 4x^2-4x+1=0\r
\n" ); document.write( "\n" ); document.write( "2. x^2-6x+7=0 \n" ); document.write( "

Algebra.Com's Answer #300429 by josmiceli(19441) $\"\"$ $\"About$

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These are in the form $\"+ax%5E2+%2B+bx+%2B+c+=+0+\"$
\n" ); document.write( "The discriminant is $\"b%5E2+-+4%2Aa%2Ac+\"$
\n" ); document.write( "(1)
\n" ); document.write( " $\"++4x%5E2+-+4x+%2B+1+=+0+\"$
\n" ); document.write( " $\"+b%5E2+-+4%2Aa%2Ac+=+%28-4%29%5E2+-+4%2A4%2A1+\"$
\n" ); document.write( " $\"+16+-+16+=+0+\"$
\n" ); document.write( "When the discriminant is $\"0\"$ , there is one real solution
\n" ); document.write( "Which is $\"+%28-b%29%2F2a++=+-%28-4%29+%2F+%282%2A4%29+\"$
\n" ); document.write( " $\"+x+=+1%2F2+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(2)
\n" ); document.write( "The discriminant is $\"+%28-6%29%5E2+-+4%2A1%2A7+=+36+-+28+\"$
\n" ); document.write( " $\"+36+-+28+=+8+\"$
\n" ); document.write( "There are 2 real solutions which are
\n" ); document.write( " $\"+%28-%28-6%29+%2B+sqrt%288%29+%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+3+%2B+sqrt%282%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+%28-%28-6%29+-+sqrt%288%29+%29+%2F+%282%2A1%29+\"$
\n" ); document.write( " $\"+x+=+3+-+sqrt%282%29+\"$ \n" ); document.write( "

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