document.write( "Question 697461: Find the two consecutive positive integer such that the sum of their squares is 145. \n" ); document.write( "
Algebra.Com's Answer #430034 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the two consecutive positive integer such that the sum of their squares is 145. \n" ); document.write( "--- \n" ); document.write( "1st: x \n" ); document.write( "2nd: x+1 \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "x^2 + (x+1)^2 = 145 \n" ); document.write( "x^2 + x^2 + 2x + 1 = 145 \n" ); document.write( "2x^2 + 2x - 144 = 0 \n" ); document.write( "x^2 + x - 72 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x+9)(x-8) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 8 \n" ); document.write( "x+1 = 9 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |