Question

√(9+2x)-√2x =2× 5/ √(9+2x) , then find x​

Answer 1

Answer:

answer in the attachment

Answer 2

$\large\green{\textsf{✩ Verified Answer ✓ }}$

Given: The expression √(9 + 2x) - √(2x) = 5/√(9 + 2x)

To find: Solve for x.

Solution:

We have given the term:

√(9 + 2x) - √(2x) = 5/√(9 + 2x)

Solving it further, we get:

√(9 + 2x){√(9 + 2x) - √(2x)} = 5

√(9 + 2x)² - {√(9 + 2x) × √(2x)} = 5

9 + 2x - { √2x(9 + 2x) } = 5

9 + 2x - √(18x + 4x²) = 5

2x + 4 = √(18x + 4x²)

Now squaring on both sides, we get:

(2x + 4)² = (18x + 4x²)

4x² + 16 + 16x = 18x + 4x²

Cancelling 4x² from both sides, we get:

16 + 16x = 18x

16 = 2x

x = 8

Answer:

So the value of x is 8.

$\bf\pink{\textsf{Answered By MrIncredible}}$