Lesson 322 of 1524
9.8 Deriving the Quadratic Formula
One way to solve the quadratic equation x 2 + 5 x + 3 = 0 is by completing the square .
Practice this chapterOne way to solve the quadratic equation x 2 + 5 x + 3 = 0 is by completing the square . A partially solved equation is shown here.
This helps us avoid some tricky fractions.
Be able to explain the steps and complete some missing steps for deriving the quadratic formula; explain how the quadratic formula is related to the process of completing the square for a quadratic equation a x 2 + b x + c = 0; factor the perfect square trinomial.
Worked example
What does this chapter state?
- 1One way to solve the quadratic equation x 2 + 5 x + 3 = 0 is by completing the square .
- 2That claim is the chapter’s own statement.
- 3Answer from the claim, not from where the chapter sits in the book.
Result: One way to solve the quadratic equation x 2 + 5 x + 3 = 0 is by completing the square .
Why. The sentence is taken from this chapter’s summary or key concepts.
Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.