Solving Quadratic Equations Concepts

This video tutorial explains how to solve quadratic equations by completing the square. It covers moving the constant term, creating a perfect square trinomial, factoring, and solving the equation. The tutorial also demonstrates simplifying the equation to find complex solutions, providing a step-by-step guide to the process.

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

• Add a constant to both sides

• Move the constant term to the right side

• Take the square root of both sides

• Factor the equation

When forming a perfect square trinomial, what formula is used to determine the constant to add?

• B times 2

• B squared

• B divided by 2 squared

• B divided by 2

What is the value of B in the example given in the video?

• 12

• 9

• 6

• 3

After adding the constant to both sides, what is the next step?

• Divide both sides by the constant

• Multiply both sides by 2

• Factor the trinomial

• Subtract the constant from both sides

What is the result of factoring the trinomial in the example?

• (x + 3)(x + 3)

• (x + 2)(x + 2)

• (x + 1)(x + 1)

• (x + 4)(x + 4)

What operation is performed to both sides of the equation to solve for x?

• Addition

• Subtraction

• Square root

• Multiplication

What is the simplified form of the square root of -8?

• 2i

• 2i square root of 2

• i square root of 8

• 4i

What are the two solutions for x in the example?

• x = -3 ± i square root of 3

• x = -3 ± 2i square root of 3

• x = -3 ± 2i square root of 2

• x = -3 ± i square root of 2

What type of solutions are obtained in the example?

• Complex solutions

• Rational solutions

• Imaginary solutions

• Real solutions

What is the final step to isolate x in the equation?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3