Question

Determine o centro e o raio da esfera:

x^2+y^2+z^2-2x-4y+8+17=0

EXPLIQUE PASSO A PASSO​

Answer 1

x² + y² + z² - 2x - 4y + 8z + (17) = 0

o centro C:

a=kx/-2x = -2x/-2x =1

b=ky/-2y = -4y/-2y= 2

c=kz/-2z = +8/-2z= -4

C (1, 2, -4) ✓

the ration:

R=√a²+b²+c²-(K)

R=√1²+2²+(-4)²-(17)

R= √1+4+16-17

R= √4

R= 2 ✓