Simplifying Radicals
Multiplying and Adding Radicals
The Quadratic Formula
Solving Using Square Roots
Completing the Square
100
sqrt(10)
sqrt(10)
100
2sqrt(2)+5sqrt(2)
7sqrt(2)
100
What is the quadratic formula?
100
(x+7)^2=30
+-sqrt(30)-7
100
What constant should be added to
x^2-10x+ ?
to make a perfect square trinomial
25
200
sqrt(50)
5sqrt(2)
200
7sqrt(2)+sqrt(18)
10sqrt(2)
200
2x^2+2x-4=0
X = -2 , 1
200
5x^2-4=41
+-3
200
Is the following a perfect square trinomial?
(Be prepared to justify)
x^2+8x+16
Yes!
If b equals 8 then c must equal 16 to be a perfect square trinomial
(b/2)^2=(8/2)^2=(4)^2=16
300
sqrt(64)
8
300
sqrt(12)*sqrt(14)
2sqrt(42)
300
2x^2+2x-6=0
(-1+-sqrt(13))/2
300
2x^2+3=10
x=+-sqrt(7/2)
300
Complete the square, factor and simplify but DO NOT SOLVE
x^2+6x+6=0
(x+3)^2=3
x^2+6x=-6
x^2+6x+9=-6+9
400
sqrt(148)
2sqrt(37)
400
-2sqrt(20)-sqrt(45)
-7sqrt(5)
400
3x^2-6x-3
1+-sqrt(2)
OR
(6+-6sqrt(2))/6
400
5x^2=-25
No Solution
400
Complete the square and solve:
x^2-4x+3=10
x = 2+-sqrt(11)
500
sqrt(1200)
20sqrt(3)
500
(sqrt(8)*sqrt(4))-sqrt(2)
3sqrt(2)
500
Give the decimal approx.
x^2+4x-3=0
x= -4.65
x= 0.65
500
2(x+6)^2+10=42
x=-10,-2
500
Complete the square and solve (give answer as decimal approx.):
x^2-2x-4=0
x=3.24 and -1.24
Exact: x=1+-sqrt(5)