- #1
aerf
- 8
- 0
Just stumbled upon something and I've never been taught it before and cannot see why its true... Hoping someone can help
x/y + y/x = x^2 + y^2/xy
Thanks
x/y + y/x = x^2 + y^2/xy
Thanks
aerf said:Just stumbled upon something and I've never been taught it before and cannot see why its true... Hoping someone can help
x/y + y/x = x^2 + y^2/xy
Thanks
Mentallic said:Clearly you implied (x2+y2)/xy as opposed to x2+(y2/xy) and to see why this is true, do you know how to add fractions such as 1/2+2/3?
The first step in solving this equation is to find a common denominator for the fractions on both sides of the equation. This will make it easier to combine the fractions and solve for the value of x and y.
To find a common denominator, you need to identify the lowest common multiple (LCM) of the denominators in the fractions. Then, you can rewrite the fractions using the LCM as the new denominator.
Yes, you can use cross multiplication to solve this equation. However, it is usually easier to find a common denominator and combine the fractions first.
If the resulting equation has a quadratic term, you will need to use the quadratic formula or factoring to solve for the values of x and y. You may also need to check for extraneous solutions, which are values that make the original equation undefined.
Yes, it is possible for this equation to have multiple solutions. This is because fractions can have infinite equivalent forms, so there may be more than one set of values for x and y that satisfy the equation.