untitled

or, 2 x 80000
or,x 40000
? Mr. Kabir invested Tk. 40000 at the rate of profit 12%.
Activity : Solve by forming equations :

1. What is the number, if any same number is added to both numerator and
   denominator of the fraction
   5

3

, the fraction will be

5

4

?

2. If the difference of the squares of two consecutive natural numbers is 151, find
   the two numbers.


3. If 120 coins of Tk. 1 and Tk. 2 together are Tk. 180, what is the number of
   coins of each kind?

Exercise 5⋅ 1
Solve (1-10) :

1. 3 ( 5 x 3 ) 2 (x 2 ) 2. a^2 b^2
   a

by

b

ay

  3.

(z 1 )(z 2 ) (z 4 )(z 2 )

4. 3

4

5

2

5

3

3

7

 

x x

5.

5 4

25

3 2

9

2 1

4







x x x

6.

3

1

2

1

4

1

1

1











x x x x

7. x a b

a b

x b

b

x a

a

 









8. 3 3
   

 









a b

x a b

a

x b

b

x a

9.

(^22) b (^2) a 2
x b
a b
x a




10.( 3  3 )z 2 5  3 3.
Find the solution set (11 - 19) :

11. 2 x(x 3 ) 2 x^2  12 12. 2 x 2 3 x 4  3 2 13.
    x c

x a

x b

x a









14. 1

1

2

1

2









z z

z

15.

1

2

1

1 1







x x x

16.

m n x

m n

n x

n

m x

m

 









17. 3

1

4

1

5

1

2

1











x x x x

18.

18

4 15

12 5

15 2

9

2 6 







 t

t

t t

19. 22 2 22 2 2 2 2
    

 





 





 

c a

x a b

b c

x c a

a b

x b c