document.write( "Question 1028271: Use completed square form, (×-18)^2 +304, to solve the equation x^2 -36× -20=0 leaving answer in exact (surd) form.
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document.write( "don't know where to start on this so any help would be fab. Thanks \n" );
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Algebra.Com's Answer #643557 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! To solve \n" ); document.write( "x^2 - 36× - 20 = 0 \n" ); document.write( "by completing the square goes like this... \n" ); document.write( "We rewrite it this way... \n" ); document.write( "x^2 - 36x + _____ - 20 = 0 + ______ \n" ); document.write( "What goes in the blank is found by asking, \"What is half of -36 squared?\" \n" ); document.write( "Well, half of -36 is -18, and -18 squared is 324. \n" ); document.write( "So now we have \n" ); document.write( "x^2 - 36x + 324 - 20 = 0 + 324 \n" ); document.write( "Add twenty to both sides and get \n" ); document.write( "x^2 - 36x + 324 = 344 \n" ); document.write( "Now rewrite the left side as a square... \n" ); document.write( "(x - 18)^2 = 344 \n" ); document.write( "Now take the square root of both sides... \n" ); document.write( "x - 18 = plus/minus sqrt(344) \n" ); document.write( "and \n" ); document.write( "x = 18 plus or minus sqrt(344) = 18 +/- 2*sqrt(86) \n" ); document.write( " |