Question

√36x+1 +6√x / √36x+1 - 6√x =9​

Answer 1

Question :----

• if (√36x + 1 + 6√x) / (√36x + 1 - 6√x) = 9 , find x ?

Formula used :---

• √(a*b) = √a * √b
• (√a)² = a

Solution :----

From above Told formula ,

we can write , √36x as √36 * √x or, = 6√x

So, our Question becomes now,

→ (6√x + 1 + 6√x)/(6√x +1 - 6√x) = 9

→ (12√x + 1)/1 = 9

→ 12√x + 1 = 9

→ 12√x = 9-1

→ √x = 8/12 = 2/3

Squaring both sides now we get,

→ x = (2/3)² = 4/9 (Ans)