Solving Quads

Square Roots

100

x²=18

+-4.24

200

-5-2x²=11

2.8i - no solution

300

8+3x²=17

+-1.7

400

15-x²=0

+-3.87

500

-14+13x²=12

+-1.4

Quadratic Form

100

x²-5x-14

x=-2 x=7

200

x²=11x-28

x=4 x=7

300

6x²-x=5

x=-0.83 x=1

400

12x²=25x

x=0 x=2.08

500

5t²+4t+1=0

No solution 

+-0.2i

What is the best option for solving?

100

x²=50

square root method

200

-5-3x²=10

square root

300

x²+3x+2=0

Factored form to zero product

400

x²=5x-15

Quadratic.

500

5x²-13x+9

Quadratic

Discriminants

100

How many solutions will there be when b²-4ac>0?

2

200

How many solutions will there be when b²-4ac<0?

0 solutions

300

How many solutions will there be when b²-4ac=0? Why?

1, 0 can only ever be simply 0.

400

How many solutions will I have?

3x²+4x+2

2

500

How many solutions will there be?

5x²+13x+20

0