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To solve the given equation:

\[
(2a - 7)x^7 - 2x^6 + 5x^2 + a - 6 = 0
\]

we are tasked with determining the value of \( a \), knowing that the sum of the roots exceeds their product by one unit.

This is a polynomial equation, and based on the problem, the relationships between the sum and product of the roots can help us find \( a \). However, this equation appears to be of high degree (degree 7), which typically suggests that solving for the roots directly could be complex.

But first, let's break down the problem logically.

### Key Steps:
1. **Analyze the given information**:
   - We are told that the sum of the roots exceeds the product of the roots by one.
   - For a general polynomial \( P(x) = (2a - 7)x^7 - 2x^6 + 5x^2 + a - 6 \), we can use Vieta's formulas. These formulas relate the coefficients of a polynomial to the sums and products of its roots.

2. **V

Señala el valor de 'a' en la ecuación (2a - 7)x^7 - 2x^6 + 5x^2 + a - 6 = 0 si se sabe que la suma de sus raíces excede al producto de las mismas en una unidad.

Learn how to solve a polynomial equation of degree 7 and find the value of 'a' by using Vieta's formulas to relate the sum and product of its roots. The problem explores the relationship where the sum of the roots exceeds the product by one unit.

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