document.write( "Question 81001: please help me solve this?\r
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document.write( "(x+4)^2=4 \n" );
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Algebra.Com's Answer #58098 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! QUESTION:\r \n" ); document.write( "\n" ); document.write( "Solve,\r \n" ); document.write( "\n" ); document.write( "(x+4)^2=4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At first expand the expression using the identity (a+ b)^2 = a^2 + 2ab + b^2 as follows............\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> (x+4)^2=4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x^2 + 8x + 16 = 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 4 from both sides of this expression \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x^2 + 8x + 16 - 4 = 4 - 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x^2 + 8x + 12 = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is in the form of a quadratic equation. we can solve this equation using quadratic formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comaparing this equation with the stadard equation, ax^2 + bx + c =0, we have,\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 1, b = 8 and c = 12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then the solution is given by,\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = (-8 + 4)/2 or x = ( -8-4)/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = -4/2 or x = -12/2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = -2 or x = -6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence the solution is x = -2 or -6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To check the solution, plugg any of these values in the given equation......then you can see that it satisfy the given equation\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found this explanation useful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |