document.write( "Question 480572: (3)^1/2y^2-4y-7(3)=0
\n" ); document.write( "Use the descirminant to determine the number of solutions ot the quadratic equation, and is the solutions real or complex? Not necessary to find the roots, just determine the number and types of solutions \n" ); document.write( "

Algebra.Com's Answer #329090 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "For any quadratic polynomial equation of the form:\r
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\n" ); document.write( "\n" ); document.write( "Find the Discriminant,

and evaluate the nature of the roots as follows:\r
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\n" ); document.write( "\n" ); document.write( "No calculation quick look: If the signs on

and

are opposite, then

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

is a perfect square, the quadratic factors over

(the rationals).\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. Presuming rational coefficients, the root will be rational as well.\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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\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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$\"The$

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