Concept 25 Learning Target: I can solve quadratics by using the quadratic formula.

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Presentation transcript:

Concept 25 Learning Target: I can solve quadratics by using the quadratic formula.

25.1 I can solve quadratics by using the quadratic formula. The quadratic Formula: Note: Your equation MUST be equal to zero before you start. 1.Identify your values for a, b, and c. 2.“Plug” your values you have for a, b, and c into the quadratic equation. Ex.1 x 2 + 2x – 8 = 0 (notice how the equation equals “0”) a = 1 b = 2 c = -8 Questions/Central IdeasNotes/Key Details

25.1 I can solve quadratics by using the quadratic formula. 3.Solve for what is inside the radical first! 4.Remember!- When you solve for what is inside the radical, you will have two answers. (because both 6 2 and -6 2 equal 36) You will have two answers, 2 and -4. Questions/Central IdeasNotes/Key Details

25.1 I can solve quadratics by using the quadratic formula. What does this all mean? You have roots of -2 and 4. This means your parabola crosses your x-axis at (-2, 0) and (4, 0) Questions/Central IdeasNotes/Key Details

25.1 I can solve quadratics by using the quadratic formula. Remember – Make sure your equation equals zero! Subtract 10 from both sides to set the quadratic equal to zero. 1.Identify your values for a, b, and c. Ex.2 x 2 + 3x = x 2 + 3x – 10 = 0 Now that your quadratic equals zero, you can begin solving for its roots! a = 1 b = 3 c = -10 Questions/Central IdeasNotes/Key Details

25.1 I can solve quadratics by using the quadratic formula. 2.“Plug” your values you have for a, b, and c into the quadratic equation. 3.Solve for what is inside the radical first! 4.Remember!- When you solve for what is inside the radical, you will have two answers You will have two answers, 2 and -5. Questions/Central IdeasNotes/Key Details