Question

What are the solutions to this quadratic equation?

x^2+10=0


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Answer 1

Look at the step by step explanation

Explanation:

Answer 2

Correct choice: C.
`x=\pm√(10)\mathbf{i}`

Explanation:

The quadratic equation to solve is:

`x^2+10=0`

Since this equation is incomplete, we can solve it without using the quadratic solver formula.

Subtracting 10:

`x^2=-10`

Taking square root:

`x=\pm√(-10)`

Recall the square root of a negative number leads to imaginary solutions where the Unit Imaginary Number (i) is used, where:

`\mathbf{i}=√(-1)`

The solutions to the equation are:

`x=\pm√(10)\mathbf{i}`

Correct choice: C.
`x=\pm√(10)\mathbf{i}`