document.write( "Question 360730: I was wondering if someone who is an expert in this area could help me? I don't understand how to obtain the answer for the following problem. In order for me to get a good grade, I need to show all the steps I used to get the answer. I would be most appreciated and happy if you could show me how to solve the following problem: \r
\n" ); document.write( "\n" ); document.write( "Directions: Use the discriminant to determine the number and type of solutions for the given equation. \r
\n" ); document.write( "\n" ); document.write( "X^2+ 3x-4=0\r
\n" ); document.write( "\n" ); document.write( "according to my book it states that the answer is:
\n" ); document.write( "two rational solutions. \r
\n" ); document.write( "\n" ); document.write( "My question is how do I know this? What steps do I have to take to determine this? I thank you for your help!
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Algebra.Com's Answer #257427 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
From \"x%5E2%2B3x-4\" we can see that \"a=1\", \"b=3\", and \"c=-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"D=b%5E2-4ac\" Start with the discriminant formula.\r
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\n" ); document.write( "\n" ); document.write( "\"D=%283%29%5E2-4%281%29%28-4%29\" Plug in \"a=1\", \"b=3\", and \"c=-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"D=9-4%281%29%28-4%29\" Square \"3\" to get \"9\"\r
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\n" ); document.write( "\n" ); document.write( "\"D=9--16\" Multiply \"4%281%29%28-4%29\" to get \"%284%29%28-4%29=-16\"\r
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\n" ); document.write( "\n" ); document.write( "\"D=9%2B16\" Rewrite \"D=9--16\" as \"D=9%2B16\"\r
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\n" ); document.write( "\n" ); document.write( "\"D=25\" Add \"9\" to \"16\" to get \"25\"\r
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\n" ); document.write( "\n" ); document.write( "So the discriminant is \"D=25\"\r
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\n" ); document.write( "\n" ); document.write( "Since the discriminant is greater than zero, this means that there are two real solutions.\r
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\n" ); document.write( "\n" ); document.write( "Note: because the discriminant is a perfect square, this means that the two real solutions are also two rational solutions.\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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