document.write( "Question 186742: Bob was thinking of a number between 5 and 15 that when squared and added to 23 equals the next number's square. What is the number?\r
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document.write( "x(x)+23 = (x+1)2
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document.write( " This should read as \"x squared plus 23 equals the quantity x+1 squared.
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document.write( "I couldn't type exponents, so my equation may not make sense as it was written!\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #139980 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Bob was thinking of a number between 5 and 15 that when squared and added \n" ); document.write( " to 23 equals the next number's square. What is the number? \n" ); document.write( ": \n" ); document.write( "You can write it: \n" ); document.write( "x^2 + 23 = (x+1)^2 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 23 = x^2 + 2x + 1 \n" ); document.write( ": \n" ); document.write( "23 - 1 = x^2 - x^2 + 2x \n" ); document.write( ": \n" ); document.write( "22 = 2x \n" ); document.write( ": \n" ); document.write( "x = 11 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( " 11^2 + 23 = 144 \n" ); document.write( "12^2 = 144 \n" ); document.write( " |