document.write( "Question 830477: four consecutive positive integers. The sum of the squares of the second and third is 61. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #500648 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "u = x + 3 \n" ); document.write( "z = x + 2 \n" ); document.write( "y = x + 1 \n" ); document.write( "yy + zz = 61 \n" ); document.write( "--- \n" ); document.write( "(x + 1)(x + 1) + (x + 2)(x + 2) = 61 \n" ); document.write( "xx + 2x + 1 + xx + 4x + 4 = 61 \n" ); document.write( "2xx + 6x - 56 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=2, b=6, and c=-56 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "2 6 -56 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic has two real roots at: \n" ); document.write( "--- \n" ); document.write( "x = 4 \n" ); document.write( "x = -7 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root \n" ); document.write( "--- \n" ); document.write( "x = 4 \n" ); document.write( "y = 5 \n" ); document.write( "z = 6 \n" ); document.write( "y = 7 \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( " |