document.write( "Question 390713: for the following equation, state the value of the discriminant and then describe the nature of the solutions 18x^2+10x+14=0 \n" ); document.write( "

Algebra.Com's Answer #277089 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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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. If the signs on

and

are the same and both

and

are each greater than

, then

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

is a perfect square, the quadratic factors over

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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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\n" ); document.write( "\n" ); document.write( "For your problem, \r
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, and

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\n" ); document.write( "\n" ); document.write( "Just do the arithmetic.\r
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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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