document.write( "Question 244844: what kind of roots does x^2+2x+8=0 have? \n" ); document.write( "

Algebra.Com's Answer #179035 by jsmallt9(3758) $\"\"$ $\"About$

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I noticed that you have three solutions and two of them are slightly wrong. The correct answer is that the roots are complex.

\n" ); document.write( "Imaginary roots is not correct. Youcan find the roots using the quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F2a\"$
\n" ); document.write( "From this formula we can see that:

The roots will have imaginary parts because, as the other solutions explain, $\"b%5E2+-+4ac\"$ is negative.
The roots will also have real parts because the \"b\" you have is not zero.

\n" ); document.write( "Roots that have both real and imaginary parts are complex roots (a + bi), not imaginary. \n" ); document.write( "

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