For what values of x, the numbers (x + 9), (x - 6) and 4 are in G.P?

Question

KnowledgeBoat · Accepted Answer

We know that, In G.P. we have constant common ratio. Solving, ⇒ (x - 6)2 = 4(x + 9) ⇒ x2 - 12x + 36 = 4x + 36 ⇒ x2 - 12x + 36 - 4x - 36 = 0 ⇒ x2 - 16x = 0 ⇒ x(x - 16) = 0 ⇒ x = 0 or (x - 16) = 0 ⇒ x = 0 or x = 16. Hence, x = 0 or x = 16.

Mathematics

For what values of x, the numbers (x + 9), (x - 6) and 4 are in G.P?

G.P.

Related Questions

The 4th term of a G.P. is 16 and the 7th term is 128. Find the first term and common ratio of the series.