document.write( "Question 247384: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.\r
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Algebra.Com's Answer #180478 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Compute the discriminant. The discriminant is the part of the quadratic formula

, that is under the radical, namely

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0 \ \ \Rightarrow\ \\"> Two real and unequal roots. If

is a perfect square, then the roots are rational numbers, otherwise the roots are 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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No real solutions. Rather you have a conjugate pair of complex roots of the form

where

is the imaginary number defined by

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