document.write( "Question 473954: Determine the nature of the solutions of the equation.
\n" ); document.write( "x^2-2x+5=0
\n" ); document.write( "The equation has
\n" ); document.write( " A. Two non-real numbers.
\n" ); document.write( " B. Two real solutions.
\n" ); document.write( " C. One real solution.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #325086 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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the discriminant
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"x%5E2-2x%2B5=0\"$
\n" ); document.write( " $\"a=1\"$ , $\"b=-2\"$ , $\"c=5\"$
\n" ); document.write( " $\"D=%28-2%29%5E2-4%2A1%2A5=-16%3C0\"$
\n" ); document.write( "the discriminant <0, so the equation has two non-real numbers
\n" ); document.write( "Answer A. Two non-real numbers. \n" ); document.write( "

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