Solve for x using regular algebra rules.

Slides:

Advertisements

Similar presentations

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.

Advertisements

EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±

9.4 – Solving Quadratic Equations By Completing The Square

Solving Quadratic Equations by Completing the Square

Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

Solving Equations by Extracting Roots

Goals: To solve quadratic equations by using the Quadratic Formula.

2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.

Objectives: Solve equations of the form ax 2 = k. Solve equations of the form ax 2 = k where x is replaced by an algebraic expression. Standard Addressed:

Quadratics Solving equations Using “Completing the Square”

Ch 11.6 What is the area of a square with an apothem length of 14 in? Round to the nearest tenth if necessary. What is the area of a regular hexagon with.

7-5 SOLVING QUADRATIC EQUATIONS (DAY 2) ALGEBRA 1 CP OBJECTIVE: SOLVE QUADRATIC EQUATIONS AND FIND IF A QUADRATIC EQUATION HAS TWO SOLUTIONS, ONE SOLUTION,

9.3: SOLVING QUADRATIC EQUATIONS: Quadratic Equation: A function that can be written in the form ax 2 +bx+c = 0 where a ≠ 0. Standard Form of a Quadratic:

Solve and graph on number line.. 2(m + 3.2) + 0.1(2.6m -.2) = 12.8.

9.5 - The Quadratic Formula

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

Solve by taking roots. Warm up. Homework Review Completing the Square.

9-4A Solving Quadratic Equations by Using the Quadratic Formula Algebra 1 Glencoe McGraw-HillLinda Stamper.

Bellwork Use the distributive property to find each product. 1. (x+2)(x -5) 2. (-3x+2)(2x-6) Identify whether each function is quadratic. 3. f(x) = 4x³.

Solving Quadratic Equations by Using the Quadratic Formula (9-5) Objective: Solve quadratic equations by using the Quadratic Formula. Use the discriminant.

Algebra Completing the Square. Solving with Square Roots.

2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:

2.8: Literal Equations and Dimensional Analysis Algebra 1: September 15, 2014.

Algebra 1 Section 9.1 Evaluate square roots Solve simple quadratic equations Note: 5 2 = 25 and (-5) 2 = 25 so both 5 and -5 are square roots of 25. What.

SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Warm up Find each measurement.

9-3A Solving Quadratic Equations by Finding Square Roots.

9-3A Solving Quadratic Equations by Finding Square Roots.

Geometry Jeopardy Final. Geometry Jeopardy Final.

OBJECTIVE I will solve absolute-value equations using inverse operations.

Solving Quadratic Equations by the Complete the Square Method

Volume of Prisms and Cylinders

Chapter 9 Section 2.

Solving Quadratic Equations

Area of a Circular Segment

5.5 Completing the Square.

Essential Questions Solving Radical Equations and Inequalities

DCA Answers 1. C 2. G 3. B 4. F 5. D 6. F 7. B 8. F 9. B 10. H 11. D

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Solving Quadratic Equations: Square Root Method

Main Idea and New Vocabulary Key Concept: Area of a Circle

Academy Algebra II 4.7: Completing the Square

Volume of Pyramids and Cones

Objectives Develop and apply the formulas for the area and circumference of a circle. Develop and apply the formula for the area of a regular polygon.

Solving Quadratic Equations using Square Roots

11.3 and 11.5: Pyramids and Cones

Warm-Up Define the radius, diameter, and circumference of a circle.

Solving Quadratics Using Square Roots

Objective Solve quadratic equations by using square roots.

9.2 Solving Quadratic Equations using square roots

Taking the Square Root of Both Sides (3.2.1)

Use the discriminant to find the number of solutions

Completing the Square Algebra Review.

Chapter 9 Section 2.

Does the function f(x) = 3x2 + 6x have a maximum or a minimum value?

Warmup Does the function f(x) = 3x2 + 6x have a maximum or a minimum value?

5.4 Completing the Square.

If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.

Area Surface Area Volume

Missing Lengths of Similar Figures Practice

Solve for the leg and round the nearest tenth.

Solving Quadratic Equations by Finding Square Roots

Area of Regular Polygons and Circles

Area of Parallelograms and Triangles

Label your paper DNA 7.

Complete the Square January 16, 2017.

Completing the Square pages 544–546 Exercises , – , –2

Presentation transcript:

Solve for x using regular algebra rules. Solving Quadratic Equations Using Algebra and Square Roots This only works when b = 0. The quadratic equation then becomes ax2 + c = 0 Steps: 1) 2) 1. 3. 5. 2. 4. 6. Solve for x using regular algebra rules. Note! Squaring and “Square Rooting” are inverse operations. When you square root the variable in the end, it could be a positive, or a negative. Use

with an area of 90 ft2. an area of 120 cm2. 7. Model #9 – 12 with a quadratic equation. Then solve. Round to nearest tenth if necessary. 9. Find the side of a square 10. Find the radius of a circle with with an area of 90 ft2. an area of 120 cm2. 8. 11. Find the value of h for the triangle 12. A city is planning a circular if the area is 120 cm2. fountain. The depth of the fountain will be 3 ft. The maximum volume h will be 1800ft3. Find the radius of the fountain. 2h