1. Warmup 1. Solve x2 – 14x + 9 = 0 by completing the square.

2. Homework Questions

3. Homework Questions

4. Homework Questions

6. Key Concept X = Types of Solutions - Two real solutions
- One real solution
- Imaginary solution
X =

7. Two Real Solution Solve x2 + 3x -2 = 0. STEPS Write original equation.
Identify the a, b, c of
the equation
Plug a, b, c into the
Quadratic formula
Simplify.

8. You Try It!! Use the quadratic formula to solve the equation.
x2 - 6x + 4 = 0

9. One Real Solution STEPS Solve x2 + 10x + 25 = 0.
Write original equation.
Write in standard form.
a = 25, b = –30, c = 9
Simplify.
Simplify.

10. You Try It!
Solve
x2 – 8x + 16 = 0

11. Imaginary Solution
Solve –x2 + 4x – 5 = 0.

12. You Try It!
Solve
x2 + 10x + 27 = 0

13. Homework 𝒙 𝟐 +𝟒𝒙+𝟑=𝟎 𝒙 𝟐 −𝟐𝒙−𝟐𝟒=𝟎 −𝒙 𝟐 −𝒙−𝟒=𝟎 𝒙 𝟐 −𝟐𝒙+𝟏=𝟎
𝑺𝒐𝒍𝒗𝒆 𝒕𝒉𝒆 𝒆𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒖𝒔𝒊𝒏𝒈 𝒕𝒉𝒆 𝑸𝒖𝒂𝒅𝒓𝒂𝒕𝒊𝒄 𝑭𝒐𝒓𝒎𝒖𝒍𝒂
𝒙 𝟐 +𝟒𝒙+𝟑=𝟎
𝒙 𝟐 −𝟐𝒙−𝟐𝟒=𝟎
−𝒙 𝟐 −𝒙−𝟒=𝟎
𝒙 𝟐 −𝟐𝒙+𝟏=𝟎