SOLUTION: Find the real and complex solution of the equation{{{x^2-8=0}}}

Question 73561: Find the real and complex solution of the equation
Found 2 solutions by bucky, johnpickett:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

.
For this problem the easiest way to do it is to add 8 to both sides. Then the problem becomes
.

.
Then just take the square root of both sides and you get
.
and
.
The square root of 8 can be simplified by factoring it into which can then
be written as . Since you can substitute 2 for
to get that
.
So the answer simplifies to:
.
and
.
There are no complex factors involved here.
.
The only thing you have to be careful with in solving this problem is to recognize
that the value for x has to be either plus or minus because if you square them both the
plus and minus values will return a positive value. Squaring:
.
and
.
will both compute to be +8. Therefore either of these will satisfy the equation.
.
Hope this helps you with this problem.

Answer by johnpickett(2) (Show Source): You can put this solution on YOUR website!

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