Vocabulary
Who is/are the best math teacher(s)
Blake, Ayman, and Antonio
What is the first step when it comes to using the quadratic formula?
Making sure that the quadratic equation is in standard form.
Identify a, b, and c:
-15x^2+8x=-5
a=-15, b=8, c=5
Solve the following quadratic equation by using the quadratic formula:
x^2+6x+5=0
x = -1, x = -5
Find the discriminant & state the type of solutions.
-x^2+8x-15=0
4
2 real solutions
What do they mean when they ask for the roots of the equation?
To give them all possible solutions to the equation.
What is the second step of the quadratic formula?
Identifying a, b, and c from the quadratic equation.
Identify a, b, and c:
20x^2-9x=6
a=20, b=-9, c=-6
Solve the following quadratic equation by using the quadratic formula:
x^2-9x+20=0
x = 5, x = 4
Find the discriminant & state the type of solutions.
x^2-2x+1=0
0
1 real solution
What is the quadratic formula?
x=(-b±√(b²-4ac))/(2a)
When solving for the discriminant do you also have to take the square root?
No, you just use what's INSIDE the square root.
Identify a, b, and c:
-12x^2-9x-3=5
a=-12, b=-9, c=-8
Solve the following quadratic equation by using the quadratic formula:
2x^2+9x+4=0
x = -1/2, x = -4
Find the discriminant & state the type of solutions.
5x^2+2x-2=0
44
2 real solutions
Can a=0?
No, because on the quadratic formula the solution will be undefined.
How many solutions can we get from the quadratic formula?
At most 2
Identify a, b, and c:
-13x^2-16x=-1
a=-13, b=-16, c=1
Solve the following quadratic equation by using the quadratic formula:
4x^2-17x-15=0
x = 5, x = -3/4
Find the discriminant & state the type of solutions.
-x^2-4x=0
16
2 real solutions
Where is the discriminant found in the quadratic formula?
Inside the radical: b^2-4ac
What do you always put when taking the square root of something?
Plus or minus
Identify a, b, and c:
30x^2=-9x+8
a=30, b=9, c=-8
or
a=-30, b=-9, c=8
Solve the following quadratic equation by using the quadratic formula:
5x^2-30x+15=0
3 pm (sqrt(6))
ind the discriminant & state the type of solutions.
5x^2+4x+3=0
44
0 real solutions
2 imaginary