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Published byEleanore Cannon
Modified over 4 years ago
Bell Ringer: Find the zeros of each function.4. f(x) = x2 – 18x + 16 5. f(x) = x2 + 8x – 24
Objectives Define and use imaginary and complex numbers.Solve quadratic equations with complex roots.
Example 2A: Solving a Quadratic Equation with Imaginary SolutionsSolve the equation. Take square roots. Express in terms of i. Check x2 = –144 –144 (12i)2 144i 2 144(–1) x2 = –144 –144 144(–1) 144i 2 (–12i)2
The discriminant is part of the Quadratic Formula that you can use to determine the number of real roots of a quadratic equation.
Make sure the equation is in standard form before you evaluate the discriminant, b2 – 4ac.Caution!
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Write each function in standard form.
The Quadratic Formula 5-6 Warm Up Lesson Presentation Lesson Quiz
4.8 Quadratic Formula and Discriminant
Simplify each expression.
Bell Work 3/9/15 Solve for variables. 1. 3X = 0 2. w 2 =64 3. (W+3) 2 =20.
Objectives Define and use imaginary and complex numbers.
Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.
Complex Numbers and Roots
5.6 Quadratic Equations and Complex Numbers
Solving Quadratic Equations
5.6 Quadratic Formula & Discriminant
3.8 Warm Up Write the function in vertex form (by completing the square) and identify the vertex. a. y = x² + 14x + 11 b. y = 2x² + 4x – 5 c. y = x² -
5.8 Quadratic Formula. For quadratic equations written in standard form, the roots can be found using the following formula: This is called the Quadratic.
Do Now : Evaluate when x = 6, y = -2 and z = The Quadratic Formula and the Discriminant Objectives Students will be able to: 1)Solve quadratic.
4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x Solve for x by completing the square.
Good Morning! Please get the e-Instruction Remote with your assigned Calculator Number on it, and have a seat… Then answer this question by aiming the.
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