document.write( "Question 983024: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. X^2+5/6x \n" ); document.write( "

Algebra.Com's Answer #603825 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( " $\"x%5E2%2B%285%2F6%29x=0\"$
\n" ); document.write( "Take 1/2 of the co-efficient of x:
\n" ); document.write( " $\"%281%2F2%29%285%2F6%29=5%2F12\"$ (Remember this)
\n" ); document.write( "Square it:
\n" ); document.write( " $\"%285%2F12%29%5E2=25%2F144\"$
\n" ); document.write( "Add to both sides of the original equation:
\n" ); document.write( " $\"x%5E2%2B%285%2F6%29x%2B%2825%2F144%29=%2825%2F144%29\"$
\n" ); document.write( "Using the number you remembered above, write the left side as a square:
\n" ); document.write( " $\"%28x%2B5%2F12%29%5E2=25%2F144\"$ The sign is the parenthesis is the same as the sign of the co-efficient of x in the original equation (+(5/6)x so the sign is +) \n" ); document.write( "

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