7/27/2019 Department of Foundation and General Studies.gmath.-assign2A.solutions

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Department of Foundation and General Studies

Academic Year 2012 - 2013, Semester Fall

General Mathematics /SAT 101

Marks Obtained:

Name of Student:___________________________________________ Student ID: ___________________

Assignment (2)

Q1

Evaluate the following expressions and express your answer in the form

biaz :

1.i

i

1

2

Solution:

iiiii

i

i

i

i

2

3

2

1

2

31

11

22

1

1

1

222

2

2. Conjugate of )3

1.(3 ii which might be written as:

*

3

1.3

ii

Solution:

iiiiiii

33

3

13

3

1.3 2

*

7/27/2019 Department of Foundation and General Studies.gmath.-assign2A.solutions

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2

Q2

Solutions:

1.73772 x

42 x

2x 2.

8512 xx

1825 xx

93 x

3x 3.

110 x

01 x

10 x

4.4113 x

4113 x

5x

7/27/2019 Department of Foundation and General Studies.gmath.-assign2A.solutions

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3

5.

xx 3551

1553 xx

21

84 xx

Q3

Solve the following Quadratic Equation for values of (x) :

1. Using trial and error method.

2. Using the Formula method.

Solution:1.

01232 xx

0113 xx

1,3

1 xorx

2.1,2,3 cba

6

42

6

1242

32

)1(3422

2

422

x

a

acbbx

3

1

6

42,1

6

42

xandx

123 2 xx

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Solution:

62842842

xorxxorx

Q4

1. Express 448 x without using the absolute-value symbol.

Solution:

2

1.,048448 xifeixifx

2

1.,0)48(4)48( xifeixifx

2. Solve 662 x .

Solution:

62

123.,062662 xxifeixifx

03.,0626)62( xxifeixifx

3. Solve 39 x

Solution:

126393 xx

4. Solve 842 x