document.write( "Question 204107: Could someone please help me with this proble?\r
\n" ); document.write( "\n" ); document.write( "Determine the number of solutions and classify the type of solutions for the following equation and justify the answer.
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\n" ); document.write( "x^2 + 3x - 15 = 0
\n" ); document.write( "my answer is that there are two solutions x = 2.65, -5.65 but I'm not sure how to classify the type of solution and justify it. \n" ); document.write( "
Algebra.Com's Answer #154052 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
Your answers are correct,,,,very good.
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\n" ); document.write( "They want us to recognize the value of the DISCRIMINANT ,,(b^2 -4ac)
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\n" ); document.write( "with a=1,,,,b=3,,and, c= -15),,,,D={(3)^2- 4(1)(-15)}={9+60}=69
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\n" ); document.write( "The discriminant rules are:
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\n" ); document.write( "D=0,,,one solution, curve intersects x axis at one location
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\n" ); document.write( "D>0,,,,two solutions,,,as in this case,curve intersects x axis in 2 locations
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\n" ); document.write( "D<0,,,,no Real solutions,,,,,,,,curve does not intersect x axis\r
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