x, squared, plus, 6, equals, 0
x
2
+6=
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 + 6 = 0
- 6. -6
x² = -6
√x² = ± √(-6)
Since the square root of a negative number involves imaginary numbers:
x = ± √6i
Solutions: x = √6i, x = -√6i
(Note: There are no real solutions, as the result involves the imaginary unit "i".)