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After todays lesson you will be able to complete the following statement.

After todays lesson you will be able to complete the following statement. To find the discriminant, I…. Once I have found the discriminant, I know…. Flip Notes. Solving quadratics methods. Factor Square root method Quadratic formula: we will focus here today! complete the square Graphing.

micah-mercado
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After todays lesson you will be able to complete the following statement.

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  1. After todays lesson you will be able to complete the following statement. To find the discriminant, I… Once I have found the discriminant, I know…

  2. Flip Notes Solving quadratics methods FactorSquare root methodQuadratic formula: we will focus here today!complete the squareGraphing Also introduce the imaginary number, “i”

  3. N O T E S 5.4 Today, we will introduce the imaginary number. We will build on this later! The imaginary number _____ equals _____ Simplify expression vs. Solving equation Flip Notes

  4. Quadratic Formula & the Discriminant Flip Notes Another way to solve a quadratic:

  5. ax² + bx + c = 0 • The a, b, and c in the standard form of a quadratic equation corresponds to the a, b, and c in the quadratic formula. • a is the coefficient of the quadratic term, b is the coefficient of the linear term, and c is the constant term Flip Notes

  6. Flip Notes Example What are the a, b, and c? 2x² + 3x + 4 = 0 a = 2 b = 3 c = 4 Remember: ax² + bx + c = 0

  7. Flip Notes The Discriminant • The part of the formula under the square root is called the discriminant. • By solving this part of the formula only, not the radical, the number of roots, solutions or zeros can be found. 2 real solutions b² - 4ac > 0 1 double real root solution b² - 4ac = 0 2 imaginary solutions b² - 4ac < 0

  8. Example How many solutions are there? 2x² + 3x + 4 = 0 a=2, b = 3, c = 4 (3)² - 4(2)(4) = 9 - 32 = -23 Answer: no real solution since -23 < 0 2 imaginary solutions **Discriminant formula: b²-4ac

  9. Solve by QF discriminant Another way to solve a quadratic: Quadratic Formula:

  10. discriminant Another way to solve a quadratic: Quadratic Formula:

  11. Solve quadratic inequalities for x: Work with a partner. You have 5 minutes to solve this problem. To earn bragging rights you have to show your method of solving vs. just a guess and check. Show your teacher and you will be directed to show your method on the marker boards and other groups then have to use a new method.

  12. Please answer the following on your notecard.Put your name on the notecard as well! To find the discriminant, I… Once I have found the discriminant, I know…

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