Factoring
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
or x = { 7, -2}
When solving quadratic equations, we are trying to find what feature of the parabola?
x-intercepts
Solve the inequality.
5x − 8 > 17
x > 5
Identify a, b and c in the following equation:
x2 + 6x + 5 = 0
a = 1; b = 6; c = 5
Find the best method for solving the quadratic equation below:
x2+6x+9 = 0
Factoring
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2 x = -1
What are the three different types of solutions we can have when solving quadratics
No real solution (Imaginary), One solution or Two solutions
I'm thinking of an integer. It is greater than 4. It is less than or equal to 8. It is an even number. What number am I thinking of?
6
Identify a, b and c in the following equation:
x2 - 9x + 20 = 9
a = 1; b = -9; c = 11
Find the best method for solving the quadratic equation below:
5x2+2x-2 = 0
Quadratic Formula
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5 x = 1
How do we know a quadratic function does not have solutions when looking at a graph?
It does not touch or pass through the x-axis
If x > 5x, must x + 10 > 15x + 10 ?
True
True or false?
Using the quadratic formula and factoring will give you different results.
False
What is my last name?
Li
Solve the following quadratic equation by factoring.
x2 - 6x - 27 = 0
x = 9 x = -3
Why is the quadratic formula useful for solving quadratic equations?
We can ALWAYS use the quadratic formula, but we cannot always factor.
Which inequality has no solution?
A. x + 3 > x + 1
B. 5x − 2 > 5x + 7
C. 2x < 2x + 5
D. 7x ≤ 7x
B
What is the quadratic formula?
x=(-b +- sqrt(b^2-4ac))/(2a)
What is my favourite colour?
Navy blue
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2 x = 3
How do we know a quadratic function does not have a real number solution when using the quadratic formula?
The discriminant will be negative. (i.e. the number under the square root)
Three students make these claims about the same counting number.
Exactly two students are correct.
What is x?
x = 7
What is the first step for solving an equation using the quadratic formula?
Make sure the equation is in standard form. Then, find a,b and c and evaluate the discriminant.
How old are Lisa and Amelie?
Lisa is 12 and Amelie is 15.