Solve for all real values of x.

Question

x, squared, plus, 10, equals, 0
x
2
+10=
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 + 10 = 0

                      -10.  -10

                       x² = -10

                   √x² = ± √-10

                       x = ± √(-10)

Since the square root of a negative number involves imaginary numbers, we can express √(-10) as:

                       x = ± i√10

          Solutions: x = i√10, x = -i√10

There are no real solutions for this equation.