Question 674559
    One number is one-third of another. The difference of their squares is ¾. Find the numbers
.
Let x = one number
then
x/3 = other number
.
x^2 - (x/3)^2 = 3/4
x^2 - x^2/9 = 3/4
multiplying both sides by 36:
36x^2 - 4x^2 = 27
32x^2 = 27
x^2 = 27/32
x = {{{sqrt(27/32)}}}
x = {{{(3/4)*sqrt(3/2)}}}
.
other number:
x/3 = {{{((3/4)*sqrt(3/2))/3}}}
x/3 = {{{(1/4)*sqrt(3/2)}}}