Question

How do you solve `(x + 6)^2 = 121`?

Answer 1

`x=-17`
or
`x=5`

Explanation:

Given
`color(white)("XXX")(x+6)^2=121`

Therefore
`color(white)("XXX")x+6 = +-sqrt(121) = +- 11`

If
#color(white)("XXX"){: (x+6=-11,color(white)("XXXX"),x+6=+11), (rarrx=-17,,rarrx=+5) :}#