Question

What are the roots of `(x+8)^2 - 14 = 17`?

Answer 1

`x=-8+-sqrt(31)`

Explanation:

I'm assuming that by roots you mean solutions; technically the term roots means the variable values that cause an expression to be equal to zero and equations do not have roots.

`(x+8)^2-14=17`

`rarr color(white)("XXX")(x+8)^2=31`

`rarr color(white)("XXX")x+8 = +-sqrt(31)`

`rarr color(white)("XXX")x=-8+-sqrt(31)`