The first few steps in deriving the quadratic formula are shown.

A table listing the first few steps in deriving the quadratic formula
Which best explains why is not added to the left side of the equation in the last step shown in the table?

The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.

Respuesta :

In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.

What is quadratic equation?

A quadratic equation is the equation in which the highest power of the variable is two.

Here, The first few steps in deriving the quadratic formula are shown in the table.

Use the substitution property of equality to solve it further,

-c=-ax² +bx

Now factor out the term a, to solve further as,

    - c = a (x² + b/a x)

for half of the b value and square it to determine the constant of the perfect square trinomial as,

     (b/2a)² = b²/4a²

Now  the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

  -c + b²/4a² = a(x² + b/a x + b²/4a² )

Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

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