Section 9.6 The Quadratic Formula

Slides:



Advertisements
Similar presentations
Solving Quadratic Equations Quadratic Formula Medina1.
Advertisements

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.
13-4 The Quadratic Formula Standard 8.0. Quadratic Formula There once a negative boy who was all mixed up so he went to this radical party. Because the.
9.4 – Solving Quadratic Equations By Completing The Square
Solving Quadratic Equations by the Quadratic Formula
Monday May 6 th 2013 Honors Algebra. May 6 th The Quadratic Formula Why didn’t we learn this first ?
Section 7.2 – The Quadratic Formula. The solutions to are 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)
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.
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 How do we solve quadratic equations? 1.) Factoring using “Bottoms Up” 2.) if its not factorable by “Completing the Square”
Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.
13.4 The Quadratic Formula Objective: 1.)To use the quadratic formula to solve quadratic equations 2.) To use the discriminant to find the number of solutions.
To add fractions, you need a common denominator. Remember!
CPM Section 9.4A Quadratic Formula. Thus far we have considered two methods for solving quadratic function- factoring and using the square root property.
Table of Contents Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic.
Solving Quadratic Equations – Quadratic Formula The following shows how to solve quadratic equations using the Quadratic Formula. A quadratic equation.
Standard 20 The Quadratic Formula Example with numbers put in.
Solving a Trigonometric Equation Find the general solution of the equation.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  a = ____ b = ____ c = ____  we learned to solve.
Notes Over 5.6 Quadratic Formula
Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.
Solving Quadratics by Substitution y 2 – x – 6 = 0 x + y = 0 Solve for x or y Plug in the expression for y. Simplify and combine like terms Solve the Quadratic.
EXAMPLE 3 Use the quadratic formula y = 10x 2 – 94x = 10x 2 – 94x – = 10x 2 – 94x – 300 Write function. Substitute 4200 for y. Write.
ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.
Solving Quadratic Equations – Part 2 Quadratic Formula - another way to solve quadratic equations based on the standard form for a quadratic equation It.
Section 2.5 – Quadratic Equations
Warm-Up Solve through factoring: /23/2018 9:59 AM
Solving Quadratic Equations by the Quadratic Formula
Using the Quadratic Formula to Find Solutions
Solving Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations by the Complete the Square Method
Solving Quadratic Equations by the Quadratic Formula
Solve Quadratic Equations by the Quadratic Formula
Solving Quadratic Equations by the Quadratic Formula
Solving Using Quadratic Equations
13.4 The Quadratic Formula and Discriminat
Warmup 1. Solve x2 – 14x + 9 = 0 by completing the square.
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Solving Quadratic Equations by the Quadratic Formula
Unit 7 Day 4 the Quadratic Formula.
Skills Check ALL Factoring
Algebra 1 Section 12.5.
Class Notes 11.2 The Quadratic Formula.
The Quadratic Formula.
Solving Quadratic Equations by the Quadratic Formula
Warm Up Solve: (x – 4)(2x – 1) = 0 2. Solve: x² – 9x = 36.
Warm ups What is the quadratic formula?
Solving Radical Equations
Quadratic Formula & the Discriminant
Solving Quadratic Equations by the Quadratic Formula
Review: Simplify.
Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.
Quadratic Equations.
Skills Check Solve by Factoring and Square Roots
Solving Square Root Equations
Lessons The quadratic Formula and the discriminant
Questions over HW?. Skills Check Radical Operations and Solving by Square Roots after HW Check.
Quadratic Formula.
Quadratic Formula.
Algebra 1 Section 12.2.
Solving Quadratic Equations by the Quadratic Formula
Solve quadratic equations using the: QUADRATIC FORMULA
Notes Over Using Radicals
Solving Quadratic Equations by Finding Square Roots
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
13.4 The Quadratic Formula and Discriminant
Equations Involving Absolute Value
Solving Quadratic Equations by the Quadratic Formula
Presentation transcript:

Section 9.6 The Quadratic Formula

Quadratic Formula There once a negative boy who was all mixed up so he went to this radical party. Because the boy was square, he lost out on 4 awesome chicks so he cried his way home when it was all over at 2 AM.

Quadratic Formula IF THEN

#1 Solve using the quadratic formula.

#2 Solve using the quadratic formula

#3 Solve using the quadratic formula

#4 Solve using the quadratic formula

#5 Solve using the quadratic formula.

#6 Solve using the quadratic formula.

#7 Solve using the quadratic formula

#8 Solve using the quadratic formula

#9 Solve using the quadratic formula

Solve by using the Quadratic Formula. First, write the equation in the form and identify a, b, and c. Example 5-1a

Then, substitute these values into the Quadratic Formula. Replace a with 1, b with –8, and c with –33. Simplify. Example 5-1a

Simplify. Write as two equations. or Simplify. Answer: The solutions are 11 and –3.

Solve by using the Quadratic Formula. Answer: 2, –15 Example 5-1b

Solve by using the Quadratic Formula. Identify a, b, and c. Then, substitute these values into the Quadratic Formula. Quadratic Formula Replace a with 1, b with –34, and c with 289. Simplify.