A2H The Quadratic Formula Lesson

a = 2 , b = 3, c = -5

a = 2, b = -3, c = 5

a = 2, b = -3, c = -5

a = -2, b = 3, c = 5

Square root

Quadratic formula

X-intercepts

Discriminant 

roots

x-intercepts

zeros

All of the above

zero

a postive number

a negative number

a perfect square

zero

a postive number

a negative number

a perfect square

-10 & -4

-4 & 10

-8 & 4

8 & -4

$$x=\frac{1}{3},\ x=5$$  

$$x=-\frac{1}{3},\ x=-5$$  

$$x=-1,\ x=-15$$  

$$x=1,\ x=15$$  

$$x=-2,\ x=-\frac{3}{5}$$  

$$x=2,\ x=\frac{3}{5}$$  

$$x=3,\ x=-\frac{2}{5}$$  

undefined 

Factor

Write down: a = 1, b = 6, c = -13

Subtract 3 from both sides.

Add 3 to both sides.

discriminate = -71 and two imaginary solutions

discriminate = -121 and has two imaginary solutions

the discriminate = - 71 and has two real solutions

the disctiminate = -121 and has two real solutions

yes

no

400 -:2 real, rational

0 :1 real, rational

√(-400) -:2 non-real complex - imaginary

-3 : 2 non-real , imaginary

(2 - i√14)/2   ,   (2 + i√14)/2

(2 - i√-56)/2   ,   (2 + i√-56)/2

(2 - i√-14)/2   ,   (2 + i√-14)/2

(2 - √14)/2   ,   (2 + √14)/2

$$\left\{1\right\}$$  

$$\left\{1+i\sqrt[]{3},\ 1-i\sqrt[]{3}\right\}$$  

$$\left\{1.618,\ -0.618\right\}$$  

$$\left\{\frac{1+i\sqrt[]{3}}{2},\ \frac{1-i\sqrt[]{3}}{2}\right\}$$