1

Find the postive value of \$ x/y\$

\$ (25x^2 + 36y^2)/(xy) = 60 \$

2

Moving "\$ xy \$" to the right side

\$ (25x^2 + 36y^2) = 60(xy) \$

3

After simplification

\$ 25x^2 - 60(xy) + 36y^2 = 0 \$

4

Using identity \$a^2 - 2ab + b^2 = (a - b)^2\$, we get

\$ (5x - 6y)^2 = 0 \$

5

Applying squareroot on both sides we get

\$ \sqrt(5x - 6y)^2 = \sqrt0 \$

6

Cancelling Square & Squareroot we get

\$ (5x - 6y) = 0 \$

7

Moving "\$ -6y \$" to left side we get

\$ (5x = 6y) \$

8

Transforming the above equation into \$ x/y \$ form, we get

\$ 5x = 6y \$
\$ 5x/y=6 \$
\$ x/y=6/5 \$

9

The positive valve of "\$ x/y \$" is

\$ x/y=6/5 \$

10

Answer

B = \$ x/y = 6/5 \$