How do you solve #(x+7)^2= -12#?
No solutions among real numbers.
Among complex numbers the two solutions are
When solving equations it is very important to define the domain of its solutions.
Are we looking for Integer solution? Rational solutions? Real solutions? Complex solutions?
Traditionally, most of the equations addressed in high school Algebra are to be solved in real numbers. This problem does not specify the domain, so we will consider two cases: real_solutions and _complex solutions.
There is no real
If we expand our search for solutions to complex numbers, and use the classic complex number
which gives two solutions for
CHECK (never skip this step when solving equations!!!)