7.3 Solving Equations Using Quadratic Techniques

Slides:



Advertisements
Similar presentations
7-5 solving quadratic equations
Advertisements

Solving Quadratic Equations Quadratic Formula Medina1.
Solving Quadratic Equations using Factoring.  has the form: ax 2 + bx + c = 0 If necessary, we will need to rearrange into this form before we solve!
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.
2-4 completing the square
Chapter 7 – Solving Systems of Linear Equations
6.5 – Solving Equations with Quadratic Techniques.
Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.
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)
Quadratics Solving equations Using “Completing the Square”
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Other Types of Equations Solving an Equation by Factoring The Power Principle Solve a Radical Equation Solve Equations with Fractional Exponents Solve.
Equations Reducible to Quadratic
4.8 Quadratic formula and the discriminant 4.8 Warm up.
Chapter 10 Section 3 Solving Quadratic Equations by the Quadratic Formula.
2.6 Solving Quadratic Equations with Complex Roots 11/9/2012.
5.9 The Quadratic Formula 1/30/2013. Quadratic Formula: Is used to solve quadratic equations that cannot be solved using the “Big X” method. The equation.
5.3 – Solving Quadratic Equations by Factoring. Ex. 1 Solve y = x 2 + 5x + 6 by factoring.
10-6 Using the Quadratic Formula. What is it? The quadratic formula is a method for solving quadratic equations in the for ax 2 + bx + c.
Solving Quadratic Equations Quadratic Equations: Think of other examples?
9.5 - The Quadratic Formula
Quadratic Relations Solving Quadratic Equations Day 3: Solve by Factoring Tuesday, January 05, 20161Day 2 - Solve by Factoring.
Solving Quadratic Equations by Factoring. The quadratic equation is written in the form ax 2 + bx + c = 0 To solve quadratic equations by factoring we.
7.6 Rational Zero Theorem Depressed equation. All the possible rational Zeros To find all the possible rational zero, take all the factors of the last.
13.1 Introduction to Quadratic Equations
6.4 Completing the Square The Square Root Property.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION PRACTICE PROBLEMS.
Bellwork 1)Write in standard form. 2) 3)A student is solving an equation by completing the square. Write the step in the solution that appears just before.
Warm Up  1.) Write 15x 2 + 6x = 14x in standard form. (ax 2 + bx + c = 0)  2.) Evaluate b 2 – 4ac when a = 3, b = -6, and c = 5.
The Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation that is in the form ax2 ax2 + bx bx + c = 0 I’ll have to write.
SAT Problem of the Day. 5.5 The Quadratic Formula 5.5 The Quadratic Formula Objectives: Use the quadratic formula to find real roots of quadratic equations.
Solve Quadratic Equations by Completing the Square
The Quadratic Formula..
Sec. 5-8: Quadratic Formula
Do Now Use the standard form of a quadratic equation to find the a, b and c of each equation. ax2 + bx + c = 0 x2 – 6x + 10 = 0 2x2 + 3x + 4 = 0 x2 –
4.6 Quadratic formula.
1.5 Square Root and Completing the Square
The Quadratic Formula..
Quadratic Formula Solving for X Solving for quadratic equations.
Solving Quadratic Equations by the Complete the Square Method
Solve a literal equation
4.6 Quadratic formula.
Section 11.2 The Quadratic Formula.
1.6 - Square Root and Completing the Square
Algebra 1 Section 12.5.
SOLVING QUADRATIC EQUATIONS USING THE FORMULA
The Quadratic Formula.
9.2 Graphing Quadratic Functions
5.9 The Quadratic Formula 12/11/2013.
9-6 The Quadratic Formula and Discriminant
Review: 6.5b Mini-Quiz 1. Solve: 9x2 – 100 = 0.
Objective Solve quadratic equations by graphing.
6.6 Analyzing Graphs of Quadratic Functions
9.2 Solving Quadratic Equations using square roots
Objective Solve quadratic equations by factoring..
Warm-Up 5 minutes Factor the following expressions: 2) x2 - 3x
5.4 Completing the Square.
8.2 Solving by Substitution
Warm-up  .
The Quadratic Formula..
Review: 6.5c Mini-Quiz 1. Solve: 4x2 – 40 = –27x.
A, b and c can be any numbers
8.2 Mini-Quiz Review: 6.5a Mini-Quiz Solve Solve.
The Quadratic Formula..
Skills Check Factoring (after the HW Check)
A, b and c can be any numbers
quadratic formula. If ax2 + bx + c = 0 then
Write Quadratic Functions and Models
A, b and c can be any numbers
Presentation transcript:

7.3 Solving Equations Using Quadratic Techniques Using Substitution to solve Quadratic Equations

Quadratic form ax2 + bx + c = 0 2x2 – 3x – 5 = 0 This also would be a quadratic form of an equation

How would you solve Use Substitution

How would you solve Use Substitution Let u = y2 u2 = y4

How would you solve Use Substitution Let u = y2 u2 = y4

How would you solve Then Use Substitution Let u = y2 u2 = y4

How would you solve Then Use Substitution Let Do both answers work?

How would you solve Then Use Substitution Let Do both answers work?

How would you solve Then Use Substitution Let

How would you solve Then Use Substitution Let Do both answers work?

Homework Page 363 #11 – 27 odd

Homework Page 363 #12 – 28 even