document.write( "Question 201145: The sum of two numbers A and B is 3. The sum of their cubes is 36, What is the sum of their squares decreased by the product of the two numbers? \n" ); document.write( "
Algebra.Com's Answer #151388 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! (1) A + B = 3,,,,,,,,B=(3-A) \n" ); document.write( "(2) A^3 + B^3 =36 \n" ); document.write( ". \n" ); document.write( "A^3 + (3-A)^3 =36 \n" ); document.write( ". \n" ); document.write( "side problem (3-A)^3 = (3-A) (3-A)(3-A) \n" ); document.write( "(3-A) ( 9-6A +A^2) \n" ); document.write( "27 -27A +9A^2 -A^3 \n" ); document.write( ". \n" ); document.write( "subst in \n" ); document.write( ". \n" ); document.write( "A^3 +(27 -27A +9A^2 -A^3) =36 \n" ); document.write( "9A^2 -27A -9 =0 \n" ); document.write( "9(A^2 -3A -1) =0 \n" ); document.write( "(A^2 -3A -1) =0 \n" ); document.write( ". \n" ); document.write( "To factor use quadratic eqn \n" ); document.write( ". \n" ); document.write( "a=1,,,,,b=-3,,,,,c=-1 \n" ); document.write( ". \n" ); document.write( "A =[ -(-3) +/- sqrt((-3)^2 - 4 (1)(-1)] / 2(1) \n" ); document.write( ". \n" ); document.write( "A= [3 +/- sqrt{ 9+4} ]/2 \n" ); document.write( ". \n" ); document.write( "A= [3 +/- 3.6]/2 \n" ); document.write( ". \n" ); document.write( "A= 3.3, -.3,,,,, \n" ); document.write( ". \n" ); document.write( "B= 3-3.3 =-.3,,,,or B= 3-(-.3) = 3.3 \n" ); document.write( ". \n" ); document.write( "( A^2 +B^2) - AB =? \n" ); document.write( ". \n" ); document.write( "{ (3.3)^2 +(-.3)^2 } - (3.3)(-.3) = ? \n" ); document.write( ". \n" ); document.write( "11+10 = ? \n" ); document.write( ". \n" ); document.write( "21=?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |