Question

How do you solve `3x^4+38=0`?

Answer 1

`3x^4+38=0` has no Real solutions.

Explanation:

For all Real values of `x`
`color(white)("XXX")x^2 >= 0`

`color(white)("XXX")rarr x^4 >= 0`

`color(white)("XXX")rarr 3x^4 >= 0`

`color(white)("XXX")rarr 3x^4+38 > 0`