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50 points!!

The first few steps in deriving the quadratic formula are
shown.
Which best explains why
62
is not added to the left
40?
-C-ax? +bx
side of the equation in the last step shown in the table?
Use the subtraction property of
equality
Factor out a
-ax² + x
O The term
b?
is added to the right side of the
40²
b?
b
2a
Find half of the b value and square
it to determine the constant of the
perfect square trinomial
4a?
equation, so it needs to be subtracted from the left
side of the equation to balance the sides of the
equation.
ba
-C-
4a
a
4a
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.
O The term
b2
40²
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

50 points!! The first few steps in deriving the quadratic formula are shown. Which-example-1
User Maxouhell
by
3.0k points

1 Answer

4 votes
4 votes

Answer:

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

Explanation:

There is a factor of a outside of the parentheses on the right has side

We are really adding a( b^2/4a^2) to the right side

Simplifying we are adding b^2 /4a

This is what we need to add to the left side to be fair and equal.

We used the distributive property to determine what we were actually adding to the right side.

User Rolnn
by
3.1k points