document.write( "Question 37191: Hi all,\r
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document.write( "I need some help with school study work. I need to solve this quadratic equation by using the square root property?
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document.write( "1: 4x^2 - 48= 0\r
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document.write( "2: I need to solve this quadratic equation by completing square?
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document.write( "x^2 + 24 = -10x\r
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document.write( "Anyone, please help me \n" );
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Algebra.Com's Answer #22882 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Okay, from 4x^2 - 48 = 0, we add 48 to both sides and then divide by four, giving us x^2 = 12. Take the root of both sides to give x = ± radical 12 = ± 2 radical 3. \n" ); document.write( "The second problem, x^2 + 24 = -10x, requires us to move the -10x to the left side and the 24 to the right to get \n" ); document.write( "x^2 + 10x = -24 \n" ); document.write( "Now we take half of the 10 and square it to get 25. That is what we add to both sides and get \n" ); document.write( "x^2 + 10x + 25 = 1 \n" ); document.write( "(x + 5)^2 = 1 \n" ); document.write( "x + 5 = ±1 \n" ); document.write( "x = -5 ± 1 = -6 or -4 \n" ); document.write( " |