Question

there's consecutive terms of a geometric progression are x, 4 and x+6. Find the possible values of x.​

Answer 1

Answer:

hence x=2 or -8

Step-by-step explanation:

x, 4 and x+6 are in Gp

so 4/x=x+6/4

x(x+6)=4*4

x2+6x-16=0

x2+8x-2x-16=0

x(x+8)-2(x+8)=0

(x+8)(x-2)=0

x=2 or -8

if x=2 then no are:

2,4,2+6 or 2,4,8

if x=-8 then no are

-8,4 and -8+6 or -8,4,-2

hence x=2 or -8