document.write( "Question 176790: Solve 2x^2-6x-3=0 Which one is the answer? I can work it all the way to were x= +6 ± √60/4...I get stuck after that part.\r
\n" ); document.write( "\n" ); document.write( "A) -3+√15/2 and -3-√15/2\r
\n" ); document.write( "\n" ); document.write( "B) 3+2√15/2 and 3-2√15/2\r
\n" ); document.write( "\n" ); document.write( "C) There are no real solutions\r
\n" ); document.write( "\n" ); document.write( "D) 3+√15/2 and 3-√15/2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #131875 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Solve 2x^2-6x-3=0 Which one is the answer? I can work it all the way to were x= +6 ± √60/4...I get stuck after that part.
\n" ); document.write( "A) -3+√15/2 and -3-√15/2
\n" ); document.write( "B) 3+2√15/2 and 3-2√15/2
\n" ); document.write( "C) There are no real solutions
\n" ); document.write( "D) 3+√15/2 and 3-√15/2
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"2x%5E2%2B-6x%2B-3+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-6%29%5E2-4%2A2%2A-3=60\".
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\n" ); document.write( " Discriminant d=60 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--6%2B-sqrt%28+60+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-6%29%2Bsqrt%28+60+%29%29%2F2%5C2+=+3.43649167310371\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-6%29-sqrt%28+60+%29%29%2F2%5C2+=+-0.436491673103709\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-6x%2B-3\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-6x%2B-3+=+%28x-3.43649167310371%29%2A%28x--0.436491673103709%29\"
\n" ); document.write( " Again, the answer is: 3.43649167310371, -0.436491673103709.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-6%2Ax%2B-3+%29\"

\n" ); document.write( "\n" ); document.write( "6+sqrt(60))/4 = (3+sqrt(15))/2
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\n" ); document.write( "sqrt(60) = sqrt(4*15) = sqrt(4)*sqrt(15) = 2sqrt(15)
\n" ); document.write( "You had it done, except for that.\r
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