Quadratic Equations!

Extracting Square Root

1

x^2 - 16=0

±4

2

4x^2=81

±9/2

3

x^2+6x+9=0

-3

4

(3x+3)^2=27

±3√3

5

4x^2=12

±√3

Factoring

1

x^2 − 9x + 18 = 0

{3,6}

2

x^2 + 17x + 49 = 3x

-7

3

8x^2 = 30 + 43x

{−5/8 , 6}

4

6k^2 − 42k + 72 = 0

{3, 4}

5

3v^2 + 36v + 49 = 8v

{− 7/3 , −7}

Completing the Square

1

10x^2+20x-71=9

{2,-4}

2

x^2-20x-46=-2

{22,-2}

3

x^2+4x-13=8

{3,-7}

4

5x^2+20x-50=10

{2,-6}

5

x^2-16x-50=10

{8+2√31, 8-2√31}

Quadratic Formula

1

6x^2+18x=0

x=0 or x=-3

2

14x^2+44x=0

x=0 or x= -22/7

3

x^2-9x+14=0

x=7 or x=4

4

2x^2-5x=3

x=3 or x=-1/2

5

x^2-5x-24=0

x=8 or x= -3