document.write( "Question 131579: Mr ree is 4 years older than ms ree, but their actual ages are a mystery, if they tell you that the summ of the squares of their ages is 3706, how old are they? \n" ); document.write( "
Algebra.Com's Answer #121724 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Let x = Ms Ree's age \n" ); document.write( "then because \"Mr ree is 4 years older than ms ree\" \n" ); document.write( "x+4 = Mr Ree's age \n" ); document.write( ". \n" ); document.write( "From: \"the sum of the squares of their ages is 3706\" \n" ); document.write( "x^2 + (x+4)^2 = 3706 \n" ); document.write( "x^2 + x^2+8x+16 = 3706 \n" ); document.write( "2x^2+8x+16 = 3706 \n" ); document.write( "2x^2+8x-3690 = 0 \n" ); document.write( "x^2+4x-1845 = 0 \n" ); document.write( ". \n" ); document.write( "Factoring: \n" ); document.write( "(x-41)(x+45) = 0 \n" ); document.write( "x = {41, -45} \n" ); document.write( ". \n" ); document.write( "We can toss out the negative answer so: \n" ); document.write( "x = 41 (Ms Ree's age) \n" ); document.write( ". \n" ); document.write( "Mr. Ree's age: \n" ); document.write( "x+4 = 41+4 = 45 years (Mr. Ree's age) \n" ); document.write( " \n" ); document.write( " |