document.write( "Question 194140: x^2-8x+16=0.\r
\n" ); document.write( "\n" ); document.write( "Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.
\n" ); document.write( " Thank You \n" ); document.write( "

Algebra.Com's Answer #145719 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
From $\"x%5E2-8x%2B16\"$ we can see that $\"a=1\"$ , $\"b=-8\"$ , and $\"c=16\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"D=b%5E2-4ac\"$ Start with the discriminant formula.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"D=%28-8%29%5E2-4%281%29%2816%29\"$ Plug in $\"a=1\"$ , $\"b=-8\"$ , and $\"c=16\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"D=64-4%281%29%2816%29\"$ Square $\"-8\"$ to get $\"64\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"D=64-64\"$ Multiply $\"4%281%29%2816%29\"$ to get $\"%284%29%2816%29=64\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"D=0\"$ Subtract $\"64\"$ from $\"64\"$ to get $\"0\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the discriminant is equal to zero, this means that there is one real solution. \n" ); document.write( "

\n" );