Solve for all real values of x.

x, squared, plus, 16, equals, 0
x
2
+16=
0

Solve the problem just like the example below
⬇️
Solve for all real values of x

x² - 16 = 0
+16. +16

x²=16

√x² = ± √16

x= ± 4

Solutions: x=4, x=-4

1 answer

Solve for all real values of x

                          x² + 16 = 0
                      -16.   -16

                          x² = -16

                  √x² = ± √-16

                       x = ± 4i

            Solutions: x = 4i, x = -4i

(Note: There are no real solutions since the square root of a negative number is imaginary.)