Algebra 2 Review

Completing The Square

100

x²-6x-7=0

x=7, x-=1

200

x²-12x-45=0

x=15, x=-3

300

(x-5)²+2x+1=14

x=6, x=2

400

 x² - 4x - 32 = 0  

x=8, x=-4

500

x²-6x=-7

x=3+√2, x=3-√2

Quadratic Formula

100

What is Standard Form of a Quadratic Function?

ax² +bx+c

200

x²-x-6=0

x=3, x=-2

300

6x²+11x+3=0

x=-1/3, x=-3/2

400

8x²+22x-21=0

x=3/4, x=-7/2

500

2x²+8x+3=0

x=(-4+√10)/2, - (4+√10)/2

Roots

100

which equation has the roots for 3-i and 3+i?

1)x² - 6x + 10 = 0

2)x² + 6x -10 = 0

3)x² - 10x + 6 = 0

4)x² +10x - 6 = 0

1)x² - 6x + 10 = 0

200

3(x+2)²−27=0

x=1, x=-5

300

3x²+5x+7=0

x=-5/6 + i√(59/6)

400

x²+8x+40=20

x=-4+2i, x=-4-2i

500

3(x+2)²−45=0

x=√ 15 - 2, -√ 15 - 2

Miscellaneous

100

What is the Quadratic Formula? 

x=-b +/- √(b²-4ac)/2a

200

what are the steps to completing the square?

1.Rewrite the equation move the constant to the right side of the equation and leave a space for step 2. 

2. Add a value to the left side to complete the square and add the same value to the right side of the equation.

3. Factor the trinomial.

4. Take the square root of both sides

5. Solve the equations.

300

The length of a rectangle is is 3 feet more than the width. If the area of the rectangle is is 18 square feet find the dimension. 

x=-6, x=3

400

The width of a rectangle is 4 feet less than the length. If the area of a rectangle is 32, find each dimension

x=8, x==-4

500

Find 2 consecutive positive even integers whose product is 48

6*8=48