document.write( "Question 821559: If the difference between two numbers is 5, and the difference between the squares of those numbers is also 5, how can I find out what the two numbers are using an algebraic method (not trial and error)? \r
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document.write( "I have found out one pair of numbers that have the required criteria, (3 and -2), but this was through trial and error.
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Algebra.Com's Answer #494213 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "y - x = 5 \n" ); document.write( "y = x + 5 \n" ); document.write( "yy - xx = 5 \n" ); document.write( "--- \n" ); document.write( "yy - xx = 5 \n" ); document.write( "(x + 5)(x + 5) - xx = 5 \n" ); document.write( "xx + 10x + 25 - xx = 5 \n" ); document.write( "10x + 25 = 5 \n" ); document.write( "10x = -20 \n" ); document.write( "x = -2 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = -2 \n" ); document.write( "y = 3 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |