Question

the numbers 3,x and x+6 are in G.P then x is...?​

Answer 1

Step-by-step explanation:

common difference in gp = r2/r1

r1 = 3

r2 = x

r3 = x+6

so,

x/3 = x+6/x

x² = 3x + 18

x² - 3x -18 = 0

x² - 6x + 3x - 18 = 0

x( x - 6 ) +3 ( x - 6 ) = 0

( x - 6 ) ( x + 3 ) = 0

x-6 =0 x + 3 = 0

x = 6 x = -3

x = -3 , +6