document.write( "Question 288289: I need to complete the square:
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document.write( "I've been using to figure out the formula since I know the answer to this second one.
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document.write( "I used the Complete the Square Solver on here, but it comes up with a different answer than the book.
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document.write( "The formula I'm using is: x=-4 +or- square root of (4)^2-4(2)(-1) over 2(2)
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document.write( "so, -4+or- square root of 16 + 8 over 4
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document.write( "then -4+or- square root of 24 over 4
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document.write( "then -4+or- 2 times square root of 6 over 4
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document.write( "after simplifying, i get -1+or- square root of 6 over 2.
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document.write( "My book says the answer is -2+or- square root of 6 over 2.
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document.write( "Where did I go wrong?? If I can't solve THIS one, then I know I can't solve the others.
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document.write( "Could somebody please explain where I messed up? I'm assuming I should have multiplied something by 2 somewhere along the way to come up with the book answer, but I can't figure out where or more importantly, WHY.
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document.write( "Thanks for any help given, I appreciate it! \n" );
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Algebra.Com's Answer #208965 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! 2x^2+10x-3 =0 \n" ); document.write( "2x^2+10x=3 \n" ); document.write( "2*(x^2+5x)=3 \n" ); document.write( "x^2+5x+25/4=6/4+25/4\r \n" ); document.write( "\n" ); document.write( "x^2+5x+25/4=31/4 \n" ); document.write( "(x+5/2)^2=(31/4) \n" ); document.write( "x = 1/2 (sqrt(31)-5) \n" ); document.write( "x = 1/2 (-5-sqrt(31))\r \n" ); document.write( "\n" ); document.write( "2x^2+4x-1=0 \n" ); document.write( "2x^2+4x=1 \n" ); document.write( "2(x^2+2x+1)=3 \n" ); document.write( "2(x+1)^2=3 \n" ); document.write( "x = 1/2 (sqrt(6)-2) \n" ); document.write( "x = 1/2 (-2-sqrt(6)) \n" ); document.write( " |