Bài tập toán cơ bản số 45

Created by T. Madas
Question 53
Rearrange the following formulae for the variable written inside the square bracket.

a) y =

x2
a2 − x2

b) x =

y
y +1

c) x =

y −1
2y

d) x =

e) x =

f)

x=2

[ x]

(****+)

ya 2
y +1

x=±

x2

(****+)

y=

[ y]

(****+)

y=

4y
3− y

[ y]

(****+)

y=

y +1
y −1

[ y]

(****+)

y=

(****+)

y=

(****+)

y=±

(****+)

y = ± x2 + 9

y
y −1

g) x =

4
y2 −1
y

h) x =

y2 − 9

[ y]

[ y]

[ y]

[ y]

Created by T. Madas

1 − x2
1
1 − 2 x2
3x 2
x2 + 4
x2 + 1
x2 − 1
x2
x2 − 4
4
16− x2


Created by T. Madas
Question 54
Rearrange the following formulae for the variable written inside the square bracket.

y2
x2 − 1
=

y2 +1
x2

(****+)

y = ± x2 − 1

(****+)

gT 2
L=
4π 2

(****+)

L = r2 +

(****+)

a=

2 ( A − hb )
h+b

(****+)

u=

vf
f −v

f) u 2 = v − 2u [u ]

(*****)

u = −1 ± v + 1

g) x 2 + y 2 = 2 xy + z 2 [ x]

(*****)

x= y±z

h) x + x = y [ x]

(*****)

x = y + 1 1 ± 4 y + 1 
2

a)

L
b) T = 2π
g

[ y]

[ L]

c) V = 1 π r 2 L2 − r 2
3

[ L]

d) A = 1 h ( a + b ) + 1 b ( a + h ) [a ]
2
2

e)

1 1 1
− =
[u ]
v u f

Created by T. Madas

9V 2
π 2r 4