document.write( "Question 136722: Determine the type of number(s) that the solutions of x^2-2x+5=0 will be:\r
\n" ); document.write( "\n" ); document.write( "a) one real
\n" ); document.write( "b) two real
\n" ); document.write( "c) two non-real
\n" ); document.write( "d) no solution
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Algebra.Com's Answer #100102 by solver91311(24713) $\"\"$ $\"About$

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$\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ is the quadratic formula. The part under the radical, $\"b%5E2-4ac\"$ is called the discriminant.\r
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\n" ); document.write( "\n" ); document.write( "If $\"b%5E2-4ac%3E0\"$ , then you have two real and unequal roots.\r
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\n" ); document.write( "\n" ); document.write( "If $\"b%5E2-4ac=0\"$ , then you have two real and equal roots. Also described as one real root with a multiplicity of 2.\r
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\n" ); document.write( "\n" ); document.write( "If $\"b%5E2-4ac%3C0\"$ , then you have a conjugate pair of complex roots of the form $\"a%2B-bi\"$ where $\"i\"$ is the imaginary number defined as $\"i%5E2=-1\"$ . \n" ); document.write( "

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