Repeated Root Condition
If $$x=a$$ is a repeated root of $$f(x)$$, then:
$$f(a)=0$$
and:
$$f'(a)=0$$
Usage
- Used to identify repeated roots and determine unknown parameters in polynomial equations.
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CAT Formulas
Applications of Derivatives
Repeated Root Condition
Repeated Root Condition
If $$x=a$$ is a repeated root of $$f(x)$$, then:
$$f(a)=0$$
and:
$$f'(a)=0$$
Usage
- Used to identify repeated roots and determine unknown parameters in polynomial equations.
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