Question

How do you solve `x+5=6/x`?

Answer 1

`x=1` or `x=-6`

Explanation:

Given
`color(white)("XXX")x+5=6/x`

Multiply both sides by `x`
`color(white)("XXX")x^2+5x=6`

Convert to standard form:
`color(white)("XXX")x^2+5x-6=0`

Factor
`color(white)("XXX")(x-1)(x+6)=0`>#{: ("either",x-1=0," or ",x+6=0), (,rarr x=1,,rarr x=-6) :}#