How do you solve #y+9/y = 0#?

1 Answer
May 18, 2018

Answer:

There is no Real solution (although a Complex solution is possible)

Explanation:

Given
#color(white)("XXX")y+9/y=0#

Multiply everything (on both sides) by #y#
#color(white)("XXX")y^2+9=0#

#color(white)("XXX")y^2=-9#

Since any Real number squared is greater than or equal to zero;
there is no Real solution.

If Complex values are allowed
#color(white)("XXX")y=+-3i#