How to solve an equation by completing the square

The video tutorial explains how to solve quadratic equations by completing the square. It begins with rearranging the equation to isolate terms, then calculates B/2 squared and adds it to both sides. The equation is rewritten as a perfect square, and finally, the solution for X is found using square roots.

What is the first step in solving an equation by completing the square?

• Multiply both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

• Transform the equation into the form X^2 + BX

How do you calculate the value to add to both sides of the equation in the completing the square method?

• Multiply the coefficient of X by 2 and square it

• Divide the coefficient of X by 2 and square it

• Add the coefficient of X to itself

• Square the coefficient of X

What is the purpose of rewriting the equation as a perfect square trinomial?

• To simplify the equation

• To eliminate the constant term

• To make it easier to factor

• To prepare for taking the square root

After rewriting the equation as a perfect square, what is the next step?

• Add a constant to both sides

• Multiply both sides by a constant

• Subtract a constant from both sides

• Take the square root of both sides

What is the final form of the solution when solving by completing the square?

• X = sqrt(13) ± 1

• X = -sqrt(13) ± 1

• X = 1 ± sqrt(13)

• X = -1 ± sqrt(13)