9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016 March 8th Quiz on Friday Due Next Class: 9.2 HW & Video Notes Get Ready: Unit 9: Quadratic Functions Lesson 9.2 Solving Quadratic Equations that are Unfactorable...or too difficult to factor 1) What does it mean to solve the equation x 2 + 5x 14 = 0 ? 2) Solve the following equations. Hint: How can you check if your solution(s) is correct? a. 5n 2 + 14n + 3 = 6n + 4n 2 4 b. x 2 2x = 12
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9.2 Solving Quadratics by Completing the Square.notebook · 09-03-2015 · 9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016 Steps for Solving Unfactorable
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9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
March 8thQuiz on Friday
Due Next Class: 9.2 HW & Video Notes
Get Ready:
Unit 9: Quadratic Functions
Lesson 9.2 Solving Quadratic Equations that are Unfactorable...or too difficult to factor
1) What does it mean to solve the equation x2 + 5x 14 = 0 ?
2) Solve the following equations.
Hint: How can you check if your solution(s) is correct?
a. 5n2 + 14n + 3 = 6n + 4n2 4 b. x2 2x = 12
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
Homework Review
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
Mathematical Magic
How can we use that to solve (x+4)2 = 25
What number multiplied by itself equals 25?
Conclusion: If we take the square root of a number, then...
Solve: (x 3)2 = 49
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
How to Solve Unfactorable Quadratic Equations
Could we get x2 2x = 12 to look like (x1)2 = 13 so we can solve it?
Is (x1)2 = 13 a quadratic equation?
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
Steps for Solving Unfactorable Quadratic Equations
Completing the Square
1) Divide everything by a (the coefficient of x2)
2) Move the constant term to the right side of the equation
3) Divide b (the coefficient of x) by 2 and then square it
4) Add that square number to each side of the equation
5) Factor the quadratic trinomial on the left side of the equation Should factor a perfect square trinomial
6) Solve for x
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
x2 2x = 12
Completing the Square
1) Divide everything by a (the coefficient of x2)
2) Move the constant term to the right side of the equation
3) Divide b (the coefficient of x) by 2 and then square it
4) Add that square number to each side of the equation
5) Factor the quadratic trinomial on the left side of the equation Should factor to a perfect square trinomial
6) Solve for x
3) b = 2
2= =
4) x2 2x + = 12 +
x2 2x 12 = 0
9.2 Solving Quadratics by Completing the Square.notebook March 08, 2016
What are the advantages to Completing the Square?
Allows us to solve quadratic equations that are not factorable