document.write( "Question 182219: 1/2x^2 + x -1=0\r
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\n" ); document.write( "\n" ); document.write( "ax^2 + bx + c=0 \n" ); document.write( "

Algebra.Com's Answer #136850 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Given $\"system%28%281%2F2%29x%5E2+%2B+x+-1=0%29\"$
\n" ); document.write( " $\"f%28x%29=ax%5E2%2Bbx%2Bc\"$ , where a, b, and c are real numbers, with $\"a%3C%3E0\"$
\n" ); document.write( "Remember: $\"system%28a=1%2F2%2Cb=1%2Cc=-1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "To find x-coordinate of the vertex---> $\"x=-b%2F%282a%29\"$
\n" ); document.write( " $\"x=-1%2F%282%2A%281%2F2%29%29=-1%2F%28cross%282%29%2A1%2Fcross%282%29%29\"$
\n" ); document.write( " $\"highlight%28x=-1%29\"$
\n" ); document.write( "To find y-Intercept:
\n" ); document.write( " $\"y=%281%2F2%29%28-1%29%5E2%2B%28-1%29-1=%281%2F2%29-2=%281-4%29%2F2=-3%2F2\"$
\n" ); document.write( " $\"highlight%28y=-3%2F2%29\"$
\n" ); document.write( "Vertex---->(-1,-3/2)
\n" ); document.write( "The Axis of symmettry is $\"x=-1\"$ .
\n" ); document.write( "Solving for X-Intercepts:
\n" ); document.write( "By Quadratic formula:
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\n" ); document.write( " $\"x=%28-1%2B-sqrt%281%2B2%29%29%2F1=%28-1%2B-sqrt%283%29%29%2F1\"$
\n" ); document.write( " $\"x=%28-1%2B1.732%29%2F1=highlight%280.732%29\"$
\n" ); document.write( " $\"x=%28-1-1.732%29%2F1=highlight%28-2.732%29\"$
\n" ); document.write( "To find Y-Intercept:
\n" ); document.write( " $\"f%28x%29=0\"$
\n" ); document.write( " $\"y=%281%2F2%29%280%29%5E2%2B0-1=highlight%28-1%29\"$
\n" ); document.write( "We'll mark all highlighted points in the graph:
\n" ); document.write( "---->
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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