document.write( "Question 175608: Hello, I need some help with this problem:\r
\n" ); document.write( "\n" ); document.write( "Find the x intercepts of the quadratic equaiton
\n" ); document.write( " $\"2x%5E2%2B3x%2B4=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you in advance. \n" ); document.write( "

Algebra.Com's Answer #130680 by EMStelley(208) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are different ways to approach this problem, but probably the most common is the quadratic formula. Starting with $\"ax%5E2%2Bbx%2Bc=0\"$ we have that\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "In this problem, a=2, b=3, and c=4, so we get
\n" ); document.write( " $\"x=%28-3%2B-sqrt%283%5E2-4%282%29%284%29%29%29%2F%282%282%29%29\"$
\n" ); document.write( "So
\n" ); document.write( " $\"x=%28-3%2B-sqrt%28-23%29%29%2F4\"$
\n" ); document.write( "Note that $\"sqrt%28-23%29\"$ does not yield a real number. This means that there are no x-intercepts. This can be validated from the graph (you can see that the graph never crosses the x-axis):\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B3x%2B4%29\"$ \n" ); document.write( "

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