Question

solve: √9+2x-√2x=5/9+2x​

Answer 1

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.