Question

Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:

Answer 1

The justification of step a is common denominator and the justification of step b is multiplication property of equality

How to determine the justifications?

The equation is given as:

$a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}$

Take the LCM

This gives

$a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}$

The above represents a common denominator.

Multiply both sides by 4a

$4a^2(x + \frac{b}{2a})^2 = -4ac + b^2$

The above represents the multiplication property

Hence, the justifications are common denominator and multiplication property of equality

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