document.write( "Question 328390: Determine the nature of the solutions of the equation. y^2=2/3 y+4/3 \n" ); document.write( "

Algebra.Com's Answer #235221 by Fombitz(32388) $\"\"$ $\"About$

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$\"y%5E2=%282%2F3%29y%2B4%2F3\"$
\n" ); document.write( " $\"y%5E2-%282%2F3%29y-4%2F3=0\"$
\n" ); document.write( "Multiply both sides by 3.
\n" ); document.write( " $\"3y%5E2-2y-4=0\"$
\n" ); document.write( "Use the discriminant,
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=%28-2%29%5E2-4%283%29%28-4%29\"$
\n" ); document.write( " $\"D=4%2B48\"$
\n" ); document.write( " $\"D=52\"$
\n" ); document.write( "Since the discriminant is positive, the solutions are two distinct real roots.
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\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2-%282%2F3%29x-4%2F3%29\"$ \n" ); document.write( "

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