Unit 4 - Solving Quadratics

Simplifying Radicals

1

simplify

sqrt180

6sqrt5

2

simplify

6sqrt(54x^7y^8)

18x^3y^4sqrt(6x)

3

simplify

2sqrt48

8sqrt3

4

simplify

sqrt(-90x^5)

3x^2isqrt(10x)

5

simplify

2sqrt(40x^3y^5z^6)

4xy^2z^3sqrt(10xy)

6

simplify

sqrt(-121)

11i

Powers of i

1

What is the value for

i^27

-i

2

What is the value for

i^16 * i^17 * i^15 * i^12

1

3

What is the value for

i^98

-1

4

What is the value for

i^3 * i^20 * i^13 * i^3

-i

5

What is the value for

i^17 * i^2 * i^24 * i^23

-1

6

What is the value for

i^61

i

Complex Operations

1

Simplify the following: 

(-6+11i)+(-2+4i)

-8+15i

2

Simplify 

(-7-9i)(4-5i)

−73−i

3

Find the sum of (5+9i) and (-14-14i)

-9-5i

4

Subtract (4+12i) from (9+11i)

5-i

5

Simplify

(-6-8i)(-4-2i)

8+44i

6

Simplify 

(8+3i)(-4+2i)

−38+4i

Quadratic Real Sol

1

Find the Roots for 

f(x)=9x^2+18x-72

x=2,-4

2

Find the Roots for 

f(x)=8x^2+48x+64

x=-2,-4

3

Find the Roots for 

f(x)=4x^2-36

x=-3,3

4

Find the Roots for 

54=6x^2

x=-3,3

5

Find the Roots for 

-18=-3x^2+3x

x=-2,3

6

Find the Roots for 

f(x)=x^2+x-12

x=-4,3

Solving Quadratics

1

Find the Roots for 

13=12x^2-20x

x=13/6,-1/2

2

Find the Roots for 

y=2x^2-6x-18

x=3/2+-(3sqrt5)/2

3

Find the Roots for 

-4x-37=-8x^2

x=1/4+-(5sqrt3)/4

4

Find the Roots for 

3x^2-6x+1=-9x

x=-1/2+-(isqrt3)/6

5

Find the Roots for 

6x=2x^2+2

x=3/2+-(sqrt5)/2

6

Find the Roots for 

7x^2+6x-3=-6

x=-3/7+-(2isqrt3)/7

Solving With Sq-Roots

1

Find the Roots for 

-25x^2-8=-33

x=+-1

2

Find the Roots for 

(-3x+3)^2 +1=-4

x=(3+-isqrt5)/3

3

Find the Roots for 

25x^2-9=7

x=+-4/5

4

Find the Roots for 

(3x-2)^2 -1=5

(2+-sqrt6)/3

5

Find the Roots for 

(-2x+4)^2 -1=1

x=2

6

Find the Roots for 

x^2+22=18

x=+-2i