Prove that the following equations has no solutions.
(i) `sqrt((2x+7))+sqrt((x+4))=0`

Explanation

To prove that the equation \( \sqrt{2x + 7} + \sqrt{x + 4} = 0 \) has no solutions, we can follow these steps:

### Step 1: Analyze the components of the equation
The equation consists of two square root terms: \( \sqrt{2x + 7} \) and \( \sqrt{x + 4} \).

### Step 2: Determine the conditions for the square roots
For the square roots to be defined, the expressions inside them must be non-negative:
1. \( 2x + 7 \geq 0 \)
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