Solving Quadratic Equations with Square Roots

What is the solution to the equation x^2 = 4?

• x = 2

• x = ±2

• x = 4

• x = ±4

Why must we include a plus or minus sign when solving x^2 = 4?

• Because it simplifies the equation

• Because quadratic equations have two solutions

• Because it is a rule for all equations

• Because the square root of 4 is always positive

What is the main idea behind completing the square?

• To factor the equation

• To simplify the equation to a perfect square

• To multiply terms on both sides

• To add terms to both sides

What is the first step in solving the equation 3x^2 = 150?

• Multiply both sides by 3

• Add 1 to both sides

• Subtract 1 from both sides

• Divide both sides by 3

After dividing both sides of 3x^2 = 150 by 3, what is the resulting equation?

• x^2 = 3

• x^2 = 150

• x^2 = 50

• x^2 = 100

What is the simplified form of the square root of 50?

• 5√2

• 2√5

• 10√5

• 5√10

What is the product of the two numbers used to factor x^2 + 8x + 16?

• 4

• 8

• 32

• 16

What is the factored form of x^2 + 8x + 16?

• (x + 4)(x + 4)

• (x + 2)(x + 8)

• (x + 8)(x + 2)

• (x + 4)(x - 4)

What are the solutions to the equation x + 4 = ±2√3?

• x = -4 ± √3

• x = 4 ± √3

• x = 4 ± 2√3

• x = -4 ± 2√3

What is the key takeaway from the video regarding solving quadratic equations?

• Quadratic equations are always complex

• Quadratic equations have only one solution

• Any quadratic equation can be written as a perfect square

• Quadratic equations can only be solved by factoring