Question

Two of the steps in the derivation of the quadratic formula are shown below.

Answer 1

Answer: C) Taking the square root of both .

Step-by-step explanation: We are given the two of the steps in the derivation of the quadratic formula:

Step 6: =>  $\frac{b^2-4ac}{4a^2} = (x+\frac{b}{2a})^2$

Step 7: =>  $\sqrt\frac{b^2-4ac}{4a^2}}= x+\frac{b}{2a})$

We can see in step, we have square on right side on ( x+b/2a ).

So, we need to get rid square by taking square root on both sides.

Square root of ( x+b/2a )^2 is just x+b/2a.

And we got  $\sqrt\frac{b^2-4ac}{4a^2}}$ on left side.

Also if we simplify denominator $\sqrt{4a^2}$, we get 2a.

So, final expression for step 7 is

Step 7: =>  $\frac{\sqrt{b^2-4ac}}{2a}}=x+\frac{b}{2a}$.

Therefore, they performed operation:  C) Taking the square root of both .

Answer 2

Taking the square root of both sides of the equation. on e2020