document.write( "Question 151467: I am having trouble understanding if some quadratic equations can have one real and one imaginary solution? Is that possible? \r
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Algebra.Com's Answer #111344 by nerdybill(7384) $\"\"$ $\"About$

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NO, it is NOT possible.
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\n" ); document.write( "Consider the quadratic equation:
\n" ); document.write( " $\"+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F2a+\"$
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\n" ); document.write( "Notice that we get our TWO solutions of a quadratic from the +- portion.
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\n" ); document.write( "Now, let's focus our attention on (the term after the +-):
\n" ); document.write( " $\"+sqrt%28b%5E2+-+4ac%29+\"$
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\n" ); document.write( "Notice that if:
\n" ); document.write( "4ac is greater than b^2 then we will have to take the square root of a NEGATIVE number -- creating an imaginary solution. Once this is the case BOTH solutions will be imaginary.\r
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