Solving Quadratics ~ All Methods

Factoring (set equal to zero)

100

x^2-10x+21=0

x={3,7}

200

2x^2 + 13x + 15=0

x=-3/2, x=-5

300

3x^2-13x-30=0

x={-5/3,6}

400

x^2+4x+13=-5x-7

x=-4, x=-5

500

2x^2-4x=-3x+21

x={-3,7/2}

Square Roots (solve for x)

100

5x^2-11=234

x=+-7

200

4(x-7)^2+1=21

x=7+sqrt5, x=7-sqrt5

300

x^2-1=39

x=+-2sqrt10

400

4x^2-39=10

x=+-7/2

500

3(x-2)^2=27

x=5, x=-1

Complete the Square (move C to the other side)

100

x^2-18x+56=0

x={4,14}

200

x^2-8x=-15

x={3,5}

300

When is it best to use "complete the square" method for solving a quadratic equations?

When a=1 and b=even.

400

x^2 + 10x =3

x={-5+-2sqrt7}

500

2x^2-20x-176=0

x={5+-sqrt113}

Quadratic Formula (set equation equal to zero)

100

What is the quadratic formula?

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

200

2x^2-3x=-4x+15

x={-3,5/2}

300

x^2-9=4x

x={2+-sqrt13}

400

2x^2+20x-6=-16x+2

x=-9+-sqrt85

500

3x^2 + x = -2x + 7

x={-3/6+-(sqrt93)/6}

Random

100

Mrs. Orca has how many children? 

3

200

How long has Mrs. Orca been teaching at Downey High School?

17 years

300

It's beginning to look a lot like Christmas.  Everywhere you go.  Take a look at the _______ and _____, it's glistening once again. 

five and ten

400

On the seventh day of Christmas, my true love sent to me______ ________ __ ____________.

seven swans a swimming.

500

What are the names of Moana's pets? 

Pua the pig and Heihei the chicken.