Question

The value of x which makes \(\sqrt{\left(\dfrac{64}{225} + 1\right)} = \left(1+ \dfrac{x}{15}\right)\) is:
1. 23
2. 2
3. 1
4. 8

Answer 1

Correct Answer - Option 2 : 2

Given:

√{(64/225) + 1} = 1 + (x/15)

Calculation:

√{(64/225) + 1} = 1 + (x/15)

⇒ √{(64 + 225)/225} = 1 + (x/15)

⇒ √(289/225) = 1 + (x/15)

⇒ 17/15 = 1 + (x/15)

⇒ (x/15) = (17/15) - 1 = 2/15

⇒ x = 2

∴ The required value of x is 2.