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7-5 solving quadratic equationsObjective: Solve quadratic equations and find if a quadratic equation has two solutions, one solution, or no solutions. Algebra 1 CP
Work with a partner Find the x-intercepts of y = - x2 – 2x + 3. What are the solutions of - x2 – 2x + 3 = 0?
Standard form of a quadratic equationA quadratic equation is an equation that can be written in standard form: ax2 + bx + c = 0, where a ≠0 Ex: Write 6x2 = 5x – 12 in standard form.
Example 1 Solve 2x2 – 98 = 0
Example 2 Solve -2x = 0
Using a calculator Solve each equation by graphing the related function. a. x2 – 4 = 0 b. x2 = 0 c. x2 + 4 = 0
Homework Pg 340 # 2 – 18 even ,
WARM UP 4 PRODUCT OF POWERS Write the expression as a single power of the base (LESSON 8.1). x2 • x5 (-5) • (-5)8 x2 • x4 • x6 x • x4 • x3.
How do I write quadratic functions and models? 7.2 Write Quadratic Functions and Models Example 1 Write a quadratic function in vertex form Write a quadratic.
4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test : Wednesday.
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
If b2 = a, then b is a square root of a.
Complex Number A number consisting of a real and imaginary part. Usually written in the following form (where a and b are real numbers): Example: Solve.
9.4 – Solving Quadratic Equations By Completing The Square
4.8: Quadratic Formula HW: worksheet
THE DISTANCE FORMULA ALGEBRA 1 CP. WARM UP Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6.
6.5 – Solving Equations with Quadratic Techniques.
5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.
Using the factoring method, what are the solutions of y = x 2 + 5x + 6.
Goals: To solve quadratic equations by using the Quadratic Formula.
The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)
What are the three forms a quadratic equation can be written in? Vertex Standard Factored.
Quadratics Solving equations Using “Completing the Square”
MAT 150 – Algebra Class #9 Topics: Solving Quadratics by Factoring Square Root Completing the Square Quadratic Formula Solving quadratics having complex.
Essential Question: How do you use the quadratic formula and the discriminant? Students will write a summary including the steps for using the quadratic.
Review – Quadratic Equations All quadratic equations do not look the same, but they all can be written in the general form. y = a·x 2 + b·x + c where a,
5.5 – The Quadratic formula Objectives: Use the quadratic formula to find real roots of quadratic equations. Use the roots of a quadratic equation to locate.
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