document.write( "Question 1093033: Solve for x.
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document.write( "sqrt{x^2-x-2} = sqrt{x^2+x+7} -1\r
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document.write( "I tried it and i got -5 but the calculator and my teacher said that the answer is supposed to be -2. \n" );
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Algebra.Com's Answer #707647 by addingup(3677)![]() ![]() You can put this solution on YOUR website! sqrt(x^2 - x - 2) = sqrt(x^2 + x + 7) - 1 \n" ); document.write( "x^2 - x - 2 = (sqrt(x^2 + x + 7) - 1)^2 \n" ); document.write( "Let's simplify the equation on the right: \n" ); document.write( "(sqrt(x^2 + x + 7) - 1)^2 = 8 + x + x^2 - 2 sqrt(x^2 + x + 7): \n" ); document.write( "x^2 - x - 2 = 8 + x + x^2 - 2 sqrt(x^2 + x + 7) \n" ); document.write( "2 sqrt(x^2 + x + 7) = 2 x + 10 \n" ); document.write( "4 (x^2 + x + 7) = (2 x + 10)^2 \n" ); document.write( "4 x^2 + 4 x + 28 = (2 x + 10)^2 \n" ); document.write( "4 x^2 + 4 x + 28 = 4 x^2 + 40 x + 100 \n" ); document.write( "-36 x - 72 = 0 \n" ); document.write( "-36 (x + 2) = 0 \n" ); document.write( "x + 2 = 0 \n" ); document.write( "x = -2 \n" ); document.write( ": \n" ); document.write( "I hope this helps, it was a lot of writing. \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " |