Two of the steps in the derivation of the quadratic formula are shown below. Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2 Step 7: = +✔️b^2-4ac/2a= x + b/2aWhich operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7? subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant

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: =>  [tex]\frac{b^2-4ac}{4a^2} = (x+\frac{b}{2a})^2[/tex]Step 7: =>  [tex]\sqrt\frac{b^2-4ac}{4a^2}}= x+\frac{b}{2a})[/tex]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  [tex]\sqrt\frac{b^2-4ac}{4a^2}} [/tex] on left side.Also if we simplify denominator [tex]\sqrt{4a^2}[/tex], we get 2a.So, final expression for step 7 is Step 7: =>  [tex]\frac{\sqrt{b^2-4ac}}{2a}}=x+\frac{b}{2a}[/tex].Therefore, they performed operation:  C) Taking the square root of both .