The sum of the roots of the equation `2^(33 x-2)+2^(11 x+2)=2^(22 x+1)+1` is

Options

A. `1/11`
B. `2/11`
C. `3/11`
D. `4/11`

Explanation

To find the sum of the roots of the equation \(2^{33x - 2} + 2^{11x + 2} = 2^{22x + 1} + 1\), we will follow these steps:

### Step 1: Rewrite the equation
Start by rewriting the equation in a more manageable form:
\[ 2^{33x - 2} + 2^{11x + 2} = 2^{22x + 1} + 1 \]
This can be rearranged as:
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