Solve the Equation for X $a x ^ { 2 } - ( 2 a - 1 ) x + ( a - 1 ) = 0 \quad ( a \neq 0 )$

question 7

Essay

Solve the equation for x. $a x ^ { 2 } - ( 2 a - 1 ) x + ( a - 1 ) = 0 \quad ( a \neq 0 )$

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Definitions:

Res Ipsa Loquitur

A legal principle that allows for the presumption of negligence in a lawsuit based on the nature of the accident, even without direct evidence of the defendant's fault.

Lack of Due Care

The failure to act with the level of care that someone of ordinary prudence would have exercised under the same circumstances, leading to negligence.

Judge and Jury

Refers to the two distinct roles in a trial, where the judge oversees legal procedures, and the jury determines facts and delivers a verdict based on evidence.

Shifting Burden of Proof

A legal principle where the duty to prove or disprove a fact shifts from one party to another during the course of a legal proceeding.