document.write( "Question 865093: Determine how many and the type of number (rational, irrational, imaginary, complex conjugates) that the solutions of the equation x^2-7x+17=0 will be. Justify. \n" ); document.write( "

Algebra.Com's Answer #521508 by josgarithmetic(39618) $\"\"$ $\"About$

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$\"x%5E2-7x%2B17=0\"$
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\n" ); document.write( "Degree two, so maybe two complex solutions.\r
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\n" ); document.write( "\n" ); document.write( "Look at discriminant: $\"%28-7%29%5E2-4%281%29%2817%29=49-68=highlight_green%28-19%3C0%29\"$ .
\n" ); document.write( "This means, two complex zeros containing imaginary components.\r
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\n" ); document.write( "\n" ); document.write( "You can also go a little more and find those two solutions.
\n" ); document.write( " $\"x=%287-sqrt%28-19%29%29%2F2=7%2F2-i%2Asqrt%2819%29%2F2\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"x=7%2F2%2Bi%2Asqrt%2819%29%2F2\"$ \n" ); document.write( "

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