document.write( "Question 74861This question is from textbook Beginning Algebra
\n" ); document.write( ": Solve the following quadratic equations by factoring or by any of the techniques of this chapter.Share why you chose one method over the other for each problem.
\n" ); document.write( "\"4x%5E2-8x=3=5\"\r
\n" ); document.write( "\n" ); document.write( "The answer I got was \"2sqrt%286%2B2%29%2F2\",\"-2sqrt%286%2B2%29%2F2\". Is this correct? Thanks. Is this the square root method? Thank.
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Algebra.Com's Answer #53788 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm assuming the equation looks like this:
\n" ); document.write( "\"4x%5E2-8x%2B3=5\"
\n" ); document.write( "\"4x%5E2-8x%2B3-5=cross%285-5%29\"Subtract 5 from both sides
\n" ); document.write( "\"4x%5E2-8x-2=0\"Plug this into the quadratic formula
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"4x%5E2%2B-8x%2B-2+=+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=%28-8%29%5E2-4%2A4%2A-2=96\".
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\n" ); document.write( " Discriminant d=96 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--8%2B-sqrt%28+96+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+96+%29%29%2F2%5C4+=+2.22474487139159\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-8%29-sqrt%28+96+%29%29%2F2%5C4+=+-0.224744871391589\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B-8x%2B-2\" can be factored:
\n" ); document.write( " \"4x%5E2%2B-8x%2B-2+=+4%28x-2.22474487139159%29%2A%28x--0.224744871391589%29\"
\n" ); document.write( " Again, the answer is: 2.22474487139159, -0.224744871391589.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-8%2Ax%2B-2+%29\"

\n" ); document.write( "\n" ); document.write( "In other words, you should get
\n" ); document.write( "\"x=%288%2Bsqrt%2896%29%29%2F8\" and \"x=%288-sqrt%2896%29%29%2F8\"
\n" ); document.write( "Which reduces to
\n" ); document.write( "\"x=1%2B%28sqrt%286%29%29%2F2\" and \"x=1-%28sqrt%286%29%29%2F2\"
\n" ); document.write( "You were close to the answer, so double check your steps to see where you went wrong.
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