Question

What are the solutions to the equation x² + 9 = 0

Answer 1

To determine the solution of the given equation, isolate the variable x by subtracting 9 on both sides of the equation,

`x^2+9-9=0-9`
`x^2=-9`

Get the square root on both sides of the equation.

`√(x^2)=√(-9)`
`x=\pm√(-9)`

As we can see, the value of x is a negative number under the radical sign. However, a negative number under a radical sign is not considered a real number.

Hence, the solution to this equation is an imaginary number +3i and -3i.