Find an equation of the largest sphere that passes through the point (−1,1,4) and is such that each of the points(x,y,z) inside the sphere satisfies the equation: x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z)

27 =x

Step-by-step explanation:

We can use the triangle angle bisector theorem

x+8        2x-5

=

10             14

Using cross products

14 (x+8) = 10 (2x-5)

Distribute

14x+112 = 20x -50

Subtract 14x from each side

14x-14x+112 = 20x-14x -50

112 = 6x - 50

Add 50  to each side

112+50 = 6x+50

162 = 6x

Divide by 6

162/6 = 6x/6

27 =x