Quadratic Equations Solving and Factoring

How do I know if it is a quadratic equation?

100

How do you know if an equation is quadratic 

A. If it has an exponent of 4

B. If it has no exponent

C. If it has 3 terms 

D. If it has an exponent of 2

D. If it has an exponent of 2

200

If an equation has a degree higher than 2 is it still quadratic? 

No

300

Which one of these is not quadratic

A. 2x² + 4x - 16 = 0

B. 8x⁴ + 16x + 32 = 0

B. Because the exponent is 4

400

Is 2x² - 3x = 0 quadratic

Yes even though it has only two terms it still has a degree of 2

500

What can you do to make this equation a quadratic to solve it?

4x³ + 16x² + 256x = 0

Factor out an x.

Solving quadratic equations.

100

Solving QE by setting each factor equal to 0

(8x+5)(4x-3)=0

Answer:

x= -5/8 | x= 3/4

200

Solving QE by setting each factor equal to 0

(6x-3)(10x+9)=0

Answer: x= 3/6 or 1/2 | x= -9/10

300

Solving QE by factoring.

Remember to set each factor equal to 0.

(2x+9)²=0

x=-9/2

400

Solving QE by factoring

x²+7x+12=0

x= -4

x₂=-3

500

Solving QE by factoring

Hint:  First factor then set equal to 0

2x²-11x+10=0

x= 10/2 or 5

x₂= 1

Column 4

100

completing the square

x²-10x-11

x=-1

x=11

200

completing the square

2x²-16x-10

x=8.58

x=-0.58

300

completing the square

3x²+18x-27

x=3

x=-9

400

completing the square

x²+4-10

x=-0.54

x=-7.46

500

completing the square

4x²+24x-28

x=3.08

x=-9.08

Column 6

100

Find the discriminant:

2x² - 5x - 3 = 0

D=49

200

Find the discriminant:

2x²-4x-4=0

D=48

300

Find the discriminant:

5x²+9x-20=0

D=481

400

Extracting roots

X²=4  

answer: x=2 or x=-2

500

Extracting roots

3x²=12

 answer: x=2