The document provides information about solving quadratic equations using the quadratic formula. It defines the quadratic formula and shows how to use it to solve quadratic equations in standard form. It also discusses using the discriminant to determine the number of real solutions a quadratic equation will have. An example problem demonstrates using the quadratic formula to solve a word problem about profit from wrapping paper sales.
Mathematics 9 Lesson 1-B: Solving Quadratic Equations using Quadratic FormulaJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
Mathematics 9 Lesson 1-B: Solving Quadratic Equations using Quadratic FormulaJuan Miguel Palero
This powerpoint presentation discusses or talks about the topic or lesson Solving Quadratic Equations using the Quadratic Formula. It also discusses the steps in solving quadratic equations using the method of Quadratic Formula.
This presentation explains Algebra in Mathematics. It includes: Introduction, Solution to Puzzle, Definition of terms, Rules in Algebra, Collecting Like Terms, Similar Terms, Expanding the Brackets, Nested Brackets, Multiplication of Algebraic Expressions of a Single Variable, Division of One Expression by another, Addition and Subtraction of Algebraic Fractions, Multiplication and Division of Algebraic Fractions, Factorisation of Algebraic Expression, Useful Products of Two Simple Factors, Examples, Trinomial Expression, Quadratic Expression as the Product of Two Simple Factors, Factorisation of Quadratic Expression ax2 + bx +c When a = 1, Factorisation of Quadratic Expression ax2 + bx +c When a ≠ 1 and Test for Simple Factors.
IT'S A PRESENTATION ON QUADRATIC EQUATION PART 1, CLASS 10, CHAPTER 4, IT STARTS WITH THE SHAPE PARABOLA AND IT'S DAY TO DAY LIFE EXAMPLES, AS WE PROCEED FURTHER WE SOLVE SOME EXPRESSIONS, WE COVERT IT INTO QUADRATIC EQUATIONS. AFTERWARDS, WE LEARN HOW TO FORM STANDARD QUADRATIC EQUATIONS WITH EXAMPLES (WORD PROBLEMS).
Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
This presentation explains Algebra in Mathematics. It includes: Introduction, Solution to Puzzle, Definition of terms, Rules in Algebra, Collecting Like Terms, Similar Terms, Expanding the Brackets, Nested Brackets, Multiplication of Algebraic Expressions of a Single Variable, Division of One Expression by another, Addition and Subtraction of Algebraic Fractions, Multiplication and Division of Algebraic Fractions, Factorisation of Algebraic Expression, Useful Products of Two Simple Factors, Examples, Trinomial Expression, Quadratic Expression as the Product of Two Simple Factors, Factorisation of Quadratic Expression ax2 + bx +c When a = 1, Factorisation of Quadratic Expression ax2 + bx +c When a ≠ 1 and Test for Simple Factors.
IT'S A PRESENTATION ON QUADRATIC EQUATION PART 1, CLASS 10, CHAPTER 4, IT STARTS WITH THE SHAPE PARABOLA AND IT'S DAY TO DAY LIFE EXAMPLES, AS WE PROCEED FURTHER WE SOLVE SOME EXPRESSIONS, WE COVERT IT INTO QUADRATIC EQUATIONS. AFTERWARDS, WE LEARN HOW TO FORM STANDARD QUADRATIC EQUATIONS WITH EXAMPLES (WORD PROBLEMS).
Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
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2. ESSENTIAL UNDERSTANDING AND
OBJECTIVES
Essential Understanding: you can solve quadratic
equations in more than one way. In general you can
find a formula that gives the values of x in terms of
a, b, and c
Objectives:
Students will be able to:
Solve quadratic equations using the quadratic formula
Determine the number of solutions using the discriminant
3. IOWA CORE CURRICULUM
Algebra
Reviews A.REI.4b. Solve quadratic equations in
one variable.
Solve quadratic equations by inspection taking square
roots, completing the square, the quadratic formula and
factoring, as appropriate tot eh initial form of the
equation. Recognize then the quadratic formula gives
complex solutions and write them as
a±bi for real numbers a and b.
4. DERIVE THE QUADRATIC FORMULA
Use the quadratic formula to solve equations in
standard form. If the equation is not in standard
form, use algebra to put the equation into standard
form
5. USING THE QUADRATIC EQUATION
What are the solutions to the following equations?
2x2 – x = 4
x2 + 4x = -4
x2 + 4x – 3
5x2 – 2x = 2
6. EXAMPLE
You sell wrapping paper as a charity fundraiser.
The equation p = -6x2 + 280x -1200 models the
total profit p as a function of the price x per roll of
paper. What is the smallest amount in dollars you
can charge per roll of wrapping paper to make a
profit of $1500?
7. Solutions to Quadratics
Two real solutions, one real solution, or not real solutions
Discriminant: the value of b2 – 4ac
This tells you how many real solutions an equation has.
If b2 – 4ac > 0 there are two real solutions. What does this
graph look like?
If b2 – 4ac = 0 there is one real solution. What does this graph
look like?
If b2 – 4ac < 0 there is no real solution. What would this graph
look like?
8. What is the number of real solutions to the
equations:
-2x2 – 3x + 5 = 0?
2x2 – 3x + 7
x2 = 6x + 5
-x2 + 14x = 49
9. EXAMPLE
A rocket is launched from the ground with an initial
vertical velocity of 150 ft/s. The function
h = -16t2 + 150t models the height in feet of the
rocket at time t in seconds. Will the rocket reach a
height of 300 ft? Explain your answer.