Find three numbers in G.P. whose product is 729 and the sum of their products in pairs is 819.
Hi!
Here is the answer to your question.
.png)
⇒ 9r2 + 9r + 9 = 91r
⇒9r2 – 82r + 9 = 0
⇒9r2 – 81r – r + 9 = 0
⇒ 9r (r – 9) – 1 (r – 9) = 0
⇒ (9r –1) (r – 9) – 0
⇒ 9r –1 = 0 or r – 9 = 0
.png)
Thus, the three numbers in G.P. are 1, 9 and 81.
Cheers!