document.write( "Question 193345This question is from textbook
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document.write( ": I have a problem that states to ADD THE PROPER CONSTANT TO EACH BINOMIAL SO THAT THE RESULTING TRINOMIAL IS A PERFECT SQUARE TRINOMIAL. THEN FACTOR EACH TRINOMIAL.
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document.write( "x^2-18x+____
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document.write( "How would you solve this?
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document.write( "any help would be greatly appreciated!! \n" );
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Algebra.Com's Answer #145143 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! There is a secret THEY didn't tell you \n" ); document.write( "This is called completing the square \n" ); document.write( "X^2-18x =# \n" ); document.write( "always divide the coefficient of the second term by 2,,,and them square this\r \n" ); document.write( "\n" ); document.write( "for example, \n" ); document.write( "coefficient is -18,,, -18/2=-9,,,,(-9)^2=81 \n" ); document.write( "if we add this to above we get \n" ); document.write( "x^2-18x+81=#+81,,,,,must add to both sides of eqn to keep equal \n" ); document.write( "factoring \n" ); document.write( "(x-9)(x-9)=#+81 \n" ); document.write( "(x-9)^2=#+81 \n" ); document.write( "do not mean to confuse here,,,by adding =#+81,,,but this is next lesson \n" ); document.write( ",,,, \n" ); document.write( "this comes from the distribution, FOIL, of \n" ); document.write( "(x-9)^2=(x-9)(x-9)= x^2-9x-9x+81=x^2-2(9)x+81=x^2-18x+81 \n" ); document.write( "completing the square is just the opposite \n" ); document.write( " |