Quadratics

Quadratic Formula

Discriminant

Solve the Quadratic Equation using ______.

Potpourri

100

What is the quadratic formula?

x=(-b+-sqrt(b^2-4ac))/(2a)

100

If the discriminant is 15, how many solutions and what type are they?

2 real solutons

100

Write the coefficients of the equation (when in standard form):

11x^2-5x=-2

a=11, b=-5, c=2

100

Write the general form for a quadratic in standard form.

ax^2+bx+c=0

200

What does the quadratic formula find?

The zeros or x-intercepts

200

If the discriminant is -900, how many solutions are there?

2 imaginary solutions.

200

Solve using factoring.

2x²-18x+40=0

x = 4

x=5

200

2x²=8

-2

300

Using the quadratic formula find the zeros:

y=x²-5x+6

x=3

x=2

300

What is the discriminant of the following equations:

y=x²+4x+6

discriminant = -8

300

Solve using factoring.

y = x²- 8x +16

x = -4

x= -4

300

5x²+1=126

-5

400

Solve the equations using the quadratic formula:

y=x²+9x+20

x=-5

x=-4

400

What is the discriminant of the following equations:

y=2x²+3x-10

400

Solve using completing the square.

x² + 6x + 2 = 0

x = 3 - sqrt(7) ,3+sqrt(7)

400

Is the discriminant in the quadratic formula?

Yes

500

Solve using the quadratic formula:

y=x²+7x+20

(-7+-sqrt(31)i)/2

500

What does the discriminant tell you?

The number and type of solutions that a quadratic has.

500

Solve using whatever method you think is most appropriate.

3x²-4x+4 =0

𝑥=2/3 ± (2√2𝑖)/3

500

Solve: x²+25=0

x= 5i , -5i