document.write( "Question 799680: The arithmetic mean of two numbers is 5 and the geometric means of the same numbers is 3.find the numbers \n" ); document.write( "
Algebra.Com's Answer #482754 by thejackal(72)![]() ![]() You can put this solution on YOUR website! Geometric mean: is the root of the products of the number \n" ); document.write( "thus: \n" ); document.write( "root(a.b) = 3 \n" ); document.write( "thus (a.b) = 3^2 = 9\r \n" ); document.write( "\n" ); document.write( "Arithmetic mean: is the sum of the numbers divide by the number of number \n" ); document.write( "thus: \n" ); document.write( "(a+b)/2 = 5 or a+b = 10\r \n" ); document.write( "\n" ); document.write( "b can be return as a function of a thus b = 10 - a \n" ); document.write( "take this new function and use it in the first such that\r \n" ); document.write( "\n" ); document.write( "(a.(10-a)) = 9\r \n" ); document.write( "\n" ); document.write( "now you have a quadratic equation \r \n" ); document.write( "\n" ); document.write( "a^2 - 10a + 9 = 0\r \n" ); document.write( "\n" ); document.write( "solve it and you have a = 1 or 9 the same for b \n" ); document.write( " |