# Extraneous root of fractional equation

**Algebra**Level 4

What is the sum of all the integers \(a\) such that the following equation has no real roots:

\[\frac{x^2+x+a-5}{x-1}=a?\]

What is the sum of all the integers \(a\) such that the following equation has no real roots:

\[\frac{x^2+x+a-5}{x-1}=a?\]

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