Factoring Quadratic Equations and Solutions

The video tutorial guides viewers through solving a quadratic equation. It begins with presenting the equation 6x^2 - 120x + 600 = 0 and encourages viewers to attempt solving it. The instructor simplifies the equation by dividing all terms by six, resulting in x^2 - 20x + 100 = 0. The next step involves factoring the quadratic equation into (x - 10)(x - 10) = 0. Finally, the solution is found by setting x - 10 = 0, leading to x = 10 as the solution.

What is the first step suggested to solve the quadratic equation 6x^2 - 120x + 600 = 0?

• Add 6 to all terms

• Divide all terms by 6

• Multiply all terms by 6

• Subtract 6 from all terms

Tags

CCSS.HSA-REI.B.4B

After dividing the equation by 6, what is the new quadratic equation?

• x^2 - 20x + 100 = 0

• x^2 + 20x + 100 = 0

• x^2 + 20x - 100 = 0

• x^2 - 20x - 100 = 0

Tags

CCSS.HSA.APR.C.4

What is the goal when factoring the quadratic equation x^2 - 20x + 100?

• To express it as a difference of two squares

• To express it as a sum of two terms

• To express it as a product of two expressions

• To express it as a single term

What must the sum of a and b equal when factoring x^2 - 20x + 100?

• 100

• -100

• -20

• 20

What must the product of a and b equal when factoring x^2 - 20x + 100?

• 20

• -100

• -20

• 100

Which pair of numbers satisfies both the sum and product conditions for factoring x^2 - 20x + 100?

• -5 and -15

• -10 and -10

• -4 and -25

• -2 and -50

Tags

CCSS.HSA.APR.C.4

What is the factored form of the equation x^2 - 20x + 100?

• (x - 5)(x - 15)

• (x + 5)(x + 15)

• (x - 10)(x - 10)

• (x + 10)(x + 10)

Tags

CCSS.HSA-REI.B.4B

What is the solution to the equation (x - 10)^2 = 0?

• x = -10

• x = 10

• x = 5

• x = 0

Tags

CCSS.HSA-REI.B.4B

What mathematical operation can be used to solve (x - 10)^2 = 0?

• Square root

• Addition

• Multiplication

• Subtraction

Tags

CCSS.HSA-REI.B.4B

What is the final solution to the original quadratic equation 6x^2 - 120x + 600 = 0?

• x = -10

• x = 0

• x = 10

• x = 5

Tags

CCSS.HSA-REI.B.4B