Question

For what values of x, the numbers -2/7, x, -7/2 are in G.P? ​

Answer 1

Answer:

If (x+9),(x−6) and 4 are in GP then common ratio will be equal.

⟹

x+9

x−6

=

x−6

4

⟹(x−6)

2

=4(x+9)

⟹x

2

−12x+36=4x+36

⟹x(x−16)=0

⟹x=0 or x=16.

Step-by-step explanation:

If (x+9),(x−6) and 4 are in GP then common ratio will be equal.

⟹

x+9

x−6

=

x−6

4

⟹(x−6)

2

=4(x+9)

⟹x

2

−12x+36=4x+36

⟹x(x−16)=0

⟹x=0 or x=16.