Step A: a (x + StartFraction b Over 2 a EndFraction) squared = –c + StartFraction b squared Over 2 a EndFraction a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction Step B: a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction (one-half) a (x + StartFraction b Over 2 a EndFraction) squared = (StartFraction 1 Over a EndFraction)(StartFraction b squared minus 4 a c Over 4 a EndFraction) Determine the justification for the steps from the derivation of the quadratic formula. Justification of step A: Justification of step B:

Step A: a (x + StartFraction b Over 2 a EndFraction) squared = –c

1.	Step A: a (x + StartFraction b Over 2 a EndFraction) squared = –c + StartFraction b squared Over 2 a EndFraction a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction Step B: a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction (one-half) a (x + StartFraction b Over 2 a EndFraction) squared = (StartFraction 1 Over a EndFraction)(StartFraction b squared minus 4 a c Over 4 a EndFraction) Determine the justification for the steps from the derivation of the quadratic formula. Justification of step A: Justification of step B:
Answer» take a closer look at the very first steps; it will be easier to understand:Step A. We simply do LCM of the RHS terms:In the question, it is given in the RHS, which is incorrect. It has to be there.Step B.Since this step is continuation of Step A, it is incorrect as WELL. Let US take the correct form.Multiply both sides by with correct terms:In the question, REGARDLESS mistakes in RHS, was multiplied in the LHS instead of With continuation for solution.This is the required QUADRATIC formula.