document.write( "Question 312495: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
\n" ); document.write( "x^2 + 18x + 58 = 0 \n" ); document.write( "

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Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
\n" ); document.write( "x^2 + 18x + 58 = 0
\n" ); document.write( "a=1, b=18, c=58
\n" ); document.write( "discriminant = b^2-4*a*c
\n" ); document.write( " $\"+18%5E2+-+4%2A1%2A58+\"$
\n" ); document.write( " $\"+324+-+232+\"$
\n" ); document.write( " $\"+92+\"$
\n" ); document.write( "92 > 0
\n" ); document.write( "so 2 different rational solutions\r
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