document.write( "Question 188022: find the x-intercepts for the graph of the following equations without graphing. y= 2x*2 -5x +2 \n" ); document.write( "

Algebra.Com's Answer #140957 by Earlsdon(6294) $\"\"$ $\"About$

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Find the x-intercepts:
\n" ); document.write( " $\"y+=+2x%5E2-5x%2B2\"$ Set y = 0 and solve for x.
\n" ); document.write( " $\"2x%5E2-5x%2B2+=+0\"$ Factor the trinomial.
\n" ); document.write( " $\"%282x-1%29%28x-2%29+=+0\"$ Apply the zero product rule:
\n" ); document.write( " $\"2x-1+=+0\"$ or $\"x-2+=+0\"$
\n" ); document.write( " $\"2x-1+=+0\"$ Add 1 to both sides.
\n" ); document.write( " $\"2x+=+1\"$ Divide both sides by 2.
\n" ); document.write( " $\"highlight%28x+=+1%2F2%29\"$ or...
\n" ); document.write( " $\"x-2+=+0\"$ Add 2 to both sides.
\n" ); document.write( " $\"highlight%28x+=+2%29\"$
\n" ); document.write( "The x-intercepts are: (1/2, 0) and (2, 0)
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x%5E2-5x%2B2%29\"$ \n" ); document.write( "

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