Complex Numbers
Quadratics
Application
100

Solve - Sqrt(-29)

-iSqrt(29)

100

Solve for the following equation:

25x -6x2 = 4

x = 1/6 and x =4

100

A square park has a side walk path that goes around it.  One sidewalk path is 15 feet.  The adjacent sidewalk is 20 feet.  How much feet would you save by cutting through the park.

10 feet

200

Write the following in a + bi form

5+ sqrt(-121)

5+11i

200

Solve for the following equation

4k(k+10) = 10

-10 +-sqrt(110)

----------------

2

200

A baseball is hit so that its height is -19t2 +76t +9

What is the maximum height of the baseball?

Height is 85 ft

300

Multiply sqrt(-5) * sqrt(-5)

-5

300

Solve the inequality analytically

x-14x +45 > 0

(-infinity, 5) U (9, infinity)

300

PIC

A kite is flying on 89 feet of string. How high is it above the ground if its height is 41 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.

80 Feet

400

Write the quotient in the a +bi form

1 +3i
------
1+i

4+2i
------

2

400

Solve for the specified Variable: F = pMv2
                                               --------

                                                    r

V = sqrt(rFpM)

      -----------

          pM

400

The observed bunny rabbit population on an island is given by the function p=−.4t2+130t+1200, where t is the time in months since they began observing the rabbits. (a) When is the maximum population attained,

11762 rabbits

500

Divide 

30 +5i
-------

30 - 5i

35 + 12i
---------

37

500

Find the values of a, b, and c for which the quadratic equation 

ax squared plus bx plus c equals ax2+bx+c=0 

has the solutions 

7 - sqrt(51) and 7 + sqrt(51)

a=1, 

b= −14, 

and 

c=−2.

500

A frog leaps from a stump 4.64.6 feet high and lands 4.6 feet from the base of the stump. We can consider the initial position to be at (0,4.64.6) and its landing point to be (4.64.6,0). 

What is the frogs Maximum Hight

5.45 Feet

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