Finding Numbers Find two consecutive positive even numbers whose product is 168. 1.5 – Applications of Quadratic Equations.

Slides:



Advertisements
Similar presentations
Review Chapter 10 Phong Chau. Rational exponent & Radical b a c a² + b² = c².
Advertisements

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.
Solving Radical Equations and Inequalities 5-8
Remember! For a square root, the index of the radical is 2.
9.4 – Solving Quadratic Equations By Completing The Square
Warm Up Write each expression as a trinomial. Factor each expression.
Other Types of Equations
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,
Section 6.6: Solve Radical Equations Starter: CC 6.5 Part 2.
Aim: How do we solve equations with fractional or negative exponents?
6.4 - The Quadratic Formula
Solving equations Section 1.4.
EXAMPLE 2 Rationalize denominators of fractions Simplify
Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  we learned to solve this by:  factoring  completing.
3.6 Solving Quadratic Equations
5.3 Solving Quadratic Equations by Finding Square Roots.
Optimization. Objective  To solve applications of optimization problems  TS: Making decisions after reflection and review.
Feb 9 and 10 Solving Square Root Equations. A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent)
6.5 Solving Square Root and Other Radical Equations p390.
5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.
Other Types of Equations Solving an Equation by Factoring The Power Principle Solve a Radical Equation Solve Equations with Fractional Exponents Solve.
Complete Solutions to Practice Test What are the solutions to the quadratic equation  A. 3, 6  B. 6, 6  C. 3, 12  D. 4, 9  E. -4, -9 Factor.
Introduction Completing the square can be a long process, and not all quadratic expressions can be factored. Rather than completing the square or factoring,
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.
Section 8.2 The Quadratic Formula  The Quadratic Formula  Solving Equations Using the QF  Solving an Equivalent Equation  Solving Functions and Rational.
7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9
Tom Worthing Intermediate Algebra All rights reserved. 1 Higher order equations Use Factoring method or calculator Know how many roots you will have Determine.
Math 1111 Review for Test #1 Sections 1.2 – 2.1. Function or Not a Function? {(4, -5), (3, 4), (-2, 5)} A. Function B. Not a Function.
4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of.
Notes Over 7.6 Solving a Simple Radical Equation Solve the equation. Check your solution.
7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations.
Chapter multiplying and dividing rational expressions.
Radical expressions, rational exponents and radical equations ALGEBRA.
PreCalculus Section P.1 Solving Equations. Equations and Solutions of Equations An equation that is true for every real number in the domain of the variable.
Solving Quadratic Equations Using the Quadratic Formula Part 2.
4.5 “Square Roots”. More Examples Rationalizing the Denominator.
Warm Up Simplify each expression. Assume all variables are positive
2.7 Mathematical Models. Optimization Problems 1)Solve the constraint for one of the variables 2)Substitute for the variable in the objective Function.
Rational Exponents Use the rules for combining fractions when the exponents are rational numbers X 2 3 X 1 2 (()) = X = X = X 7.
Problem Solving: Geometry and Uniform Motion. 1. Find two supplementary angles such that the measure of the first angle is three times the measures of.
x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Optimization Problems 1.Identify the quantity you’re optimizing 2.Write an equation for that quantity 3.Identify any constraints, and use them to get the.
Algebra 2 Ch.7 Notes Page 50 P Solving Square Roots and Other Radical Equations (Part 1)
Holt McDougal Algebra 2 Solving Radical Equations and Inequalities Solving Radical Equations and Inequalities Holt Algebra 2 Skills Check Skills Check.
The Field An Investigation The Field The drawing (which is NOT drawn to scale) shows a field. The area of the field is 8000 square metres. The field.
EQ: How are extreme values useful in problem solving situations?
Math 154B Final Review Exponents and Polynomials Factoring and Applications Rationals and Applications Roots and Radicals Quadratic Equations
Solutions to Special Practice
4A.3 - Solving Radical Equations and Inequalities
Chapter 11 Quadratic Equations.
Solving Radical Equations and Inequalities
Solve Radical Equations
Objective Solve radical equations..
EXAMPLE 2 Rationalize denominators of fractions Simplify
Solving Quadratic Equations by the Complete the Square Method
Aim: How do we solve equations with fractional or negative exponents?
Other Types of Equations
Solving Radical Equations and Inequalities
4.3 - Solving Radical Equations and Inequalities
4A.3 - Solving Radical Equations and Inequalities
Quadratic Equations & Square Roots
Warmup Find the exact value. 1. √27 2. –√
Objective Solve quadratic equations by using square roots.
9.2 Solving Quadratic Equations using square roots
Absolute Value Equations Absolute Value Inequalities Factoring
Solving Quadratic Equations by Finding Square Roots
Objective Solve radical equations.. Objective Solve radical equations.
College Algebra 1.6 Other Equations
Presentation transcript:

Finding Numbers Find two consecutive positive even numbers whose product is – Applications of Quadratic Equations

Area and Volume x x x x y y y A rectangular field is to be enclosed by fence and then divided into two by another fence parallel to one of the sides. The area of the field must be 2400 square feet. If there are 240 feet of fencing available, find the values of x and y.

Vertical Motion 1.5 – Applications of Quadratic Equations

1.6 – More Equations and Applications Solving Equations by Grouping Examples:

1.6 – More Equations and Applications Solving Rational Equations Examples:

1.6 – More Equations and Applications Solving Radical Equations Examples:

1.6 – More Equations and Applications Solving Equations with Fractional Exponents Examples:

1.6 – More Equations and Applications Solving Equations with Substitution Examples: Substitute

1.6 – More Equations and Applications Solving Equations with Substitution Examples: Substitute

1.6 – More Equations and Applications Solving Equations with Substitution Examples: Substitute