Lessons The quadratic Formula and the discriminant

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Presentation transcript:

Lessons 9.2-9.3 The quadratic Formula and the discriminant Algebra 2 Honors

Ways to solve Quadratic equations Factoring Square root method Completing the square Quadratic Formula (today!)

Quadratic Formula https://www.youtube.com/wat ch?v=2lbABbfU6Zc

Using the quadratic formula to solve Set equation equal to zero and define a, b, and c Plug into the formula Solve for the discriminant Simplify the radical Split into two solutions Check your answer 2𝑥 2 −3𝑥=−5

The discriminant 𝑏 2 −4𝑎𝑐

𝑥 2 +5𝑥−6=0 2𝑥 2 −7𝑥−15=0 𝑥 2 −8𝑥+16=0 2𝑥 2 +9𝑥+20=0 Without solving the quadratic equation, state the number and nature of the solutions. 𝑥 2 +5𝑥−6=0 2𝑥 2 −7𝑥−15=0 𝑥 2 −8𝑥+16=0 2𝑥 2 +9𝑥+20=0 Solutions: Discriminant = 49 two rational roots b) Discriminant = 169 c) Discriminant = 0 One rational (double root) d) Discriminant = -79 Two imaginary solutions

Solve using completing the square and quadratic formula 2𝑥 2 −5𝑥+3=0 Which method did you prefer and why?