Justification of step A: common denominator
Justification of step B: addition property of equality
In the derivation of the standard form of the quadratic formula (ax^2 + bx + c = 0), Step A involves obtaining a common denominator for the quadratic equation.
This is justified by the need to combine the fractions into a single expression, facilitating further algebraic manipulation.
By finding a common denominator, the equation becomes more manageable and amenable to subsequent steps.
In Step B, the addition property of equality is applied. This step involves combining like terms on both sides of the equation to simplify and isolate the quadratic term.
The addition property of equality justifies this action, allowing for the consolidation of similar terms and the gradual transformation of the equation into the quadratic formula.
Question:-
Determine the justification for the steps from the derivation of the standard form of quadratic formula ax+bx+c=0 .
Justification of step A: ______
Justification of step B: _______ .