Question

Determine the values which the rational expression -n-3/15n^2-46n-33 is undefined

Answer 1

`\displaystyle(-n-3)/(15n^2-46n-33)`

expression is undefined when denominator is equal to 0, so we need to solve equation

`15n^2-46n-33=0\\15n^2+9n-55n-33=0\\3n(5n+3)-11(5n+3)=0\\(5n+3)(3n-11)=0`

so
`5n+3=0` or
`3n-11=0`

then

`n_1=-(3)/(5);n_2=(11)/(3)`

While
`n=-(3)/(5)` or
`n=(11)/(3)` expression is undefined