document.write( "Question 234430: 2 different rational solutions, 2 different irrational solutions,exactly one rational solution or 2 different imaginary solutions??\r
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Algebra.Com's Answer #172844 by solver91311(24713) $\"\"$ $\"About$

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, where

, and

are the lead, 1st degree, and constant coefficients of the quadratic equation in standard form. Then:\r
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0 \ \ \Rightarrow\ \\"> Two real and unequal roots. If the discriminant is a perfect square, then the roots are rational, otherwise they ar e irrational.\r
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One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.\r
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A conjugate pair of complex roots of the form

where

is the imaginary number defined by

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