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

1 Answer
May 18, 2018

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

Explanation:

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

Multiply everything (on both sides) by yy
color(white)("XXX")y^2+9=0XXXy2+9=0

color(white)("XXX")y^2=-9XXXy2=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=+-3iXXXy=±3i