document.write( "Question 341846: Determine the nature of the solutions of the equation. 2t^2-7t=0 Are there 2 imanginary solutions, 2 real solutions, or 1 real solution? \n" ); document.write( "

Algebra.Com's Answer #244747 by Fombitz(32388) $\"\"$ $\"About$

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Use the discriminant.
\n" ); document.write( " $\"a=2\"$
\n" ); document.write( " $\"b=-7\"$
\n" ); document.write( " $\"c=0\"$
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\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=%28-7%29%5E2-4%282%29%280%29\"$
\n" ); document.write( " $\"D=49\"$
\n" ); document.write( "Since $\"D%3E0\"$ , there are 2 real solutions.
\n" ); document.write( "Since $\"D\"$ is a perfect square, the two solutions are rational. \n" ); document.write( "

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