document.write( "Question 529966: Please help me with this. I have tried on my own...but, not getting it.\r
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document.write( "I have to solve x^2 + 6x = 16 by Completing the square.\r
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document.write( "1.I have to show what is added to each side to complete the square (using boxes)
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document.write( "2. I have to evaluate the square roots and
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document.write( "3.simplify any radicals with plus,minus sign
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document.write( "4. I have to solve the resulting equation and indicate solutions.\r
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document.write( "Thank you for your help with any part of this! \n" );
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Algebra.Com's Answer #349833 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! OK \n" ); document.write( "x^2+6x=16 \n" ); document.write( "Let's add 9 to each side (half of the x coefficient squared)\r \n" ); document.write( "\n" ); document.write( "x^2+6x+9=16+9 \n" ); document.write( "(x+3)^2=25 take sqrt of each side \n" ); document.write( "x+3=+-5 \n" ); document.write( "x=-3+-5 \n" ); document.write( "x=-8 and \n" ); document.write( "x=2\r \n" ); document.write( "\n" ); document.write( "This may be a useful tutorial for you\r \n" ); document.write( "\n" ); document.write( "Take the general form of the quadratic: \n" ); document.write( "Ax^2+Bx+C=0 \n" ); document.write( "(1) Subtract C from each side \n" ); document.write( "Ax^2+Bx=-C \n" ); document.write( "(2) Divide each term by A \n" ); document.write( "x^2+(B/A)x=-C/A \n" ); document.write( "(3) Take half of the x coefficient, square it and add it to each side \n" ); document.write( "Half of B/A=B/2A and when we square it, we have B^2/4A^2. Now we add it to each side: \n" ); document.write( "x^2+(B/A)x+B^2/4A^2=(-C/A)+B^2/4A^2\r \n" ); document.write( "\n" ); document.write( "Now the left side is a perfect square: \n" ); document.write( "(x+B/2A)^2=(B^2-4AC)/4A2 \n" ); document.write( "(4) Take the sqrt of both sides: \n" ); document.write( "(x+B/2A)=+-SQRT(B^2-4AC)/2A or \n" ); document.write( "x=(-B+-SQRT(B^2-4AC))/2A\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |