How do you solve the equation #x^2+169=0#?

1 Answer
Apr 16, 2017

Answer:

NO REAL SOLUTIONS but rather complex solutions:

#x = -13i, 13i#

Explanation:

Isolate the #x^2# by subtracting 169 from both sides...

#x^2+cancel(169-169)=0-169 -> x^2 = -169#

Now take the square root of both sides to the #x#

#sqrt(x^2)= sqrt(-169) -> x= +- sqrt(-169)#

Note: there are NO REAL SOLUTIONS! but rather two complex solutions denoted by the symbol #i#

So #x = -13i, 13i#