Learn how to solve an equation by completing the square

The video tutorial explains the process of completing the square to solve quadratic equations. It begins by outlining the objective of creating a perfect square trinomial. The teacher demonstrates isolating terms, calculating the constant term, and ensuring equation balance. The tutorial then covers factoring the trinomial and solving the equation, concluding with simplification of the solution.

What is the main objective when completing the square?

• To factor the equation

• To create a perfect square trinomial

• To isolate the variable

• To eliminate the constant term

How do you find the constant term needed to create a perfect square trinomial?

• Divide b by 2 and square it

• Subtract b from the constant term

• Add b to the constant term

• Multiply b by 2 and square it

What should you do after adding the constant term to the left side of the equation?

• Divide it by the right side

• Multiply it by the right side

• Subtract it from the right side

• Add it to the right side

What is the next step after rewriting the trinomial as a perfect square?

• Subtract the square root from both sides

• Take the square root of both sides

• Add the square root to both sides

• Multiply both sides by the square root

What are the solutions for x after solving the equation x + 3 squared equals 1?

• x = -3 and x = 3

• x = -1 and x = 1

• x = -2 and x = -4

• x = 2 and x = 4