Exploring the 7.4d Quadratic Formula and Simplified Radical Form

What is the primary focus of lesson 7.4 d?

• Geometry and trigonometry

• Quadratic formula and simplifying radicals

• Statistics and probability

• Linear equations

Which number is used in the example to demonstrate simplifying radicals?

• 16

• 32

• 27

• 45

What is the correct expression for the quadratic formula?

• x = (b ± sqrt(b^2 - 4ac)) / 2a

• x = (-b ± sqrt(b^2 - 4ac)) / 2a

• x = (-b ± sqrt(b^2 + 4ac)) / 2a

• x = (b ± sqrt(b^2 + 4ac)) / 2a

What is the simplified form of the square root of 140?

• 4 sqrt(35)

• 3 sqrt(35)

• 5 sqrt(35)

• 2 sqrt(35)

How can the expression 10 ± 2 sqrt(35) / 2 be simplified?

• 5 ± 2 sqrt(35)

• 10 ± 2 sqrt(35)

• 10 ± sqrt(35)

• 5 ± sqrt(35)

What is the simplified form of sqrt(300)?

• 15 sqrt(2)

• 20 sqrt(3)

• 10 sqrt(3)

• 5 sqrt(12)

What is the result of simplifying the expression 12 ± 10 sqrt(3) / 2?

• 6 ± 5 sqrt(3)

• 6 ± 10 sqrt(3)

• 12 ± 5 sqrt(3)

• 12 ± 10 sqrt(3)

What is the correct simplification for sqrt(28)?

• 7 sqrt(2)

• 4 sqrt(7)

• 2 sqrt(7)

• sqrt(14)

How does a negative 'a' value affect the quadratic formula calculation?

• It does not affect the calculation

• It simplifies the calculation

• It complicates the calculation

• It invalidates the formula

What is the final simplified form of the expression -4 ± 2 sqrt(7) / -4?

• 1 ± 2 sqrt(7)

• 1 ± sqrt(7)

• 1 ± 2 sqrt(7) / 2

• 1 ± sqrt(7) / 2