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

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Presentation transcript:

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

Homework Questions

Homework Questions

Homework Questions

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

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.

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

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

You Try It! Solve x2 – 8x + 16 = 0

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

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

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