document.write( "Question 24521: Please show me how to solve this problem by completing the square. $\"3x%5E2-2x%2B5=0\"$ \n" ); document.write( "

Algebra.Com's Answer #13051 by Earlsdon(6294) $\"\"$ $\"About$

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\n" ); document.write( "Solve by completing the square:
\n" ); document.write( " $\"3x%5E2-2x%2B5+=+0\"$ First divide through by 3.
\n" ); document.write( " $\"x%5E2-%282%2F3%29x%2B5%2F3+=+0\"$ Now subtract 5/3 from both sides of the equation.
\n" ); document.write( " $\"x%5E2-%282%2F3%29x+=+-5%2F3\"$ Complete the square in the x-terms by adding the square of half the x-coefficient $\"%281%2F3%29%5E2+=+1%2F9\"$ to both sides.
\n" ); document.write( " $\"x%5E2-%282%2F3%29x%2B1%2F9+=+%281%2F9%29-5%2F3\"$ Factor the left side and simplify.
\n" ); document.write( " $\"%28x-1%2F3%29%5E2+=+-14%2F9\"$ Take the square root of both sides.
\n" ); document.write( " $\"x-1%2F3+=+%281%2F3%29sqrt%2814%29\"$ Add 3 to both sides.
\n" ); document.write( " $\"x+=3%2B-sqrt%2814%29%2F3\"$ \n" ); document.write( "

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