Proof of the Quadratic Formula through Completing the Square

What is the quadratic formula used for?

• Solving linear equations

• Finding the roots of quadratic equations

• Determining the slope of a line

• Calculating the area of a circle

What is the first step in completing the square for the equation ax^2 + bx + c = 0?

• Add b to both sides

• Multiply both sides by a

• Factor out a from the equation

• Subtract c from both sides

When completing the square, what do you do with the coefficient of x?

• Half it

• Double it

• Ignore it

• Square it

What is the common denominator used in the final steps of deriving the quadratic formula?

• 4a^2

• b^2

• 2a

• c

What operation is performed to isolate x in the quadratic formula derivation?

• Division

• Addition

• Multiplication

• Square-rooting