document.write( "Question 439686: If a quadradic equation can be solved, how many solutions are there? \n" ); document.write( "

Algebra.Com's Answer #303850 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The fundamental theorem of algebra says that a polynomial equation of degree n has exactly n roots, counting multiplicities. A quadratic equation is a polynomial equation of degree 2, hence it ALWAYS has two roots. You might have 2 real and unequal roots, a real root with a multiplicity of two, or a conjugate pair of complex roots of the form

where

is the imaginary number defined by

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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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