Write the equation of the sphere in standard form. x2 + y2 + z2 + 8x − 6y + 2z + 17 = 0

The given equation of sphere is:

Regrouping the variables together,

We will use completing the square method, in this method we will consider the coefficients of x, y and z individually, then we will divide the coefficients by 2. Further, we will square the number obtained after dividing. At last we will add and subtract the number obtained.

is the standard form of the sphere with center and radius as 3.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.