document.write( "Question 158130: find the quadratic functions: 1. f(x)= x squared -8x+6
\n" ); document.write( " 2. h(x)= (x-1) squared -4
\n" ); document.write( " please hepl me, thank you \n" ); document.write( "
Algebra.Com's Answer #116555 by Alan3354(69443)\"\" \"About 
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1. f(x)= x squared -8x+6
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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 \"1x%5E2%2B-8x%2B6+=+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%2A1%2A6=40\".
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\n" ); document.write( " Discriminant d=40 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--8%2B-sqrt%28+40+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-8%29%2Bsqrt%28+40+%29%29%2F2%5C1+=+7.16227766016838\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-8%29-sqrt%28+40+%29%29%2F2%5C1+=+0.83772233983162\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-8x%2B6\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-8x%2B6+=+%28x-7.16227766016838%29%2A%28x-0.83772233983162%29\"
\n" ); document.write( " Again, the answer is: 7.16227766016838, 0.83772233983162.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-8%2Ax%2B6+%29\"

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\n" ); document.write( "\n" ); document.write( "2. h(x)= (x-1) squared -4
\n" ); document.write( "(x-1)^2 - 4 = 0
\n" ); document.write( "(x-1)^2 = 4
\n" ); document.write( "Take sqrt
\n" ); document.write( "x-1 = +2, -2
\n" ); document.write( "x = 3, x = -1
\n" ); document.write( "--------
\n" ); document.write( "2nd method:
\n" ); document.write( "x^2 - 2x + 1 - 4 = 0
\n" ); document.write( "x^2 - 2x - 3 = 0
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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 \"1x%5E2%2B-2x%2B-3+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-2%29%5E2-4%2A1%2A-3=16\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=16 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--2%2B-sqrt%28+16+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+16+%29%29%2F2%5C1+=+3\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-2%29-sqrt%28+16+%29%29%2F2%5C1+=+-1\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-2x%2B-3\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-2x%2B-3+=+%28x-3%29%2A%28x--1%29\"
\n" ); document.write( " Again, the answer is: 3, -1.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-2%2Ax%2B-3+%29\"

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