document.write( "Question 282225: 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 - 12x + 34 = 0 \n" ); document.write( "

Algebra.Com's Answer #204928 by Mathematicians(84) $\"\"$ $\"About$

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The discriminant is (racist, lol jk):\r
\n" ); document.write( "\n" ); document.write( " $\"%28b%5E2+-+4ac%29\"$ \r
\n" ); document.write( "\n" ); document.write( "in your case: a = 1, b = -12, c = 34\r
\n" ); document.write( "\n" ); document.write( " $\"%28%28-12%29%5E2+-+4+%2A+1+%2A+34%29\"$
\n" ); document.write( " $\"%28144+-+136%29\"$
\n" ); document.write( " $\"%288%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Basically, after this point. If the discriminant is:
\n" ); document.write( " < 0, it will have two distinct imaginary roots.
\n" ); document.write( " = 0, it will have a repeated root
\n" ); document.write( " > 0, it will have two distinct real roots\r
\n" ); document.write( "\n" ); document.write( "your answer is >0
\n" ); document.write( "=> it will have two distinct real roots \n" ); document.write( "

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