xlnx-xlny equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

x*log(x) - x*log(y) = 0

$$x \log{\left(x \right)} - x \log{\left(y \right)} = 0$$

Simplify

The graph

Rapid solution [src]

x1 = I*im(y) + re(y)

$$x_{1} = \operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)}$$

x1 = re(y) + i*im(y)

Sum and product of roots [src]

sum

I*im(y) + re(y)

$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)}$$

I*im(y) + re(y)

$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)}$$

product

I*im(y) + re(y)

$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)}$$

I*im(y) + re(y)

$$\operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)}$$

i*im(y) + re(y)

x*lnx-x*lny equation