Question

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

Answer 1

Solve for all real values of x

x² + 16 = 0
-16 -16

x² = -16

√x² = ± √(-16)

x = ± √(-16)
x = ± √(16) * i
x = ± 4i

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

(Note: Since the square root of a negative number involves the imaginary unit 'i', there are no real solutions for this equation.)