Question

What are the solutions to this quadratic equation?x^2+10=0​

Answer 1

Answer:

Correct choice: C. $x=\pm\sqrt{10}\mathbf{i}$

Step-by-step 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:

$x=\pm\sqrt{-10}$

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

$\mathbf{i}=\sqrt{-1}$

The solutions to the equation are:

$x=\pm\sqrt{10}\mathbf{i}$

Correct choice: C. $x=\pm\sqrt{10}\mathbf{i}$