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The image shows a mathematical question that is written as follows:

\[
\frac{b}{c} + \frac{c}{\alpha} + \frac{a}{b} + \frac{\alpha}{a} = 8
\]
The goal is to find the value of \(\frac{b}{\alpha}\).

We will need to use algebraic manipulations and potentially symmetry or simplifying assumptions to solve this. Let me work on the steps.

### Step-by-Step Solution

Given the equation:
\[
\frac{b}{c} + \frac{c}{\alpha} + \frac{a}{b} + \frac{\alpha}{a} = 8
\]

We can start by assuming symmetry or equal values for all variables for simplicity (this is common in these types of questions unless specific values are given). Let us assume \(a = b = c = \alpha\).

Substituting \(a = b = c = \alpha\) into the equation:

\[
\frac{b}{c} + \frac{c}{\alpha} + \frac{a}{b} + \frac{\alpha}{a} = \frac{a}{a} + \frac{a}{a} + \frac{a}{a} + \frac{a}{a} = 4
\]

However, the equation is given as 8, which means our assumption needs adjustment.

By testing simpler values or finding patterns, I will now solve for \(\frac{b}{\alpha}\).It appears that directly solving for \(\frac{b}{\alpha}\) in this general form is not yielding a specific solution. This indicates the equation might require a symmetry assumption or further simplification.

One common approach in such problems is to assume \(a = b = c = \alpha\), as we did earlier, but this leads to a different result (4 instead of 8). Instead, let me test other potential sets of values for \(a\), \(b\), \(c\), and \(\alpha\), or explore common factor relationships.

Would you like me to proceed by trying some specific values, or approach this differently?

If b/c + c/α + a/b + α/a = 8, then b/α is:

This problem involves solving a complex algebraic equation with fractions. Learn how to approach and simplify equations involving multiple variables, applying concepts of algebra and symmetry. This problem is suitable for students in Grades 10-12.

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