What are the solutions to this quadratic equation?

x^2+10=0

Correct choice: C.

Step-by-step explanation:

The quadratic equation to solve is:

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

Subtracting 10:

Taking square root:

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

The solutions to the equation are:

Correct choice: C.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!