Bài tập toán cơ bản số 44

Created by T. Madas
Question 51
Rearrange the following formulae for the variable written inside the square bracket.

a) 2 R + QR = QT [ R ]

(***)

R=

QT
Q+2

b) 2 R + QR = QT [Q]

(***+)

Q=

2R
T −R

c) 2 x − 5 y = y − mx [ x]

(***+)

x=

6y
m+2

(***+)

u = ± v +1

(***+)

y=

(***+)

y=

(***+)

L=

(****)

y=

d)

( u − 1)2 = v

e) x =

f)

2
y

g) T =

[ y]

1
y +1

x=

8
3

L

[u ]

[ y]

[ L]

h) y + 5 = x ( y + 2 ) [ y ]

Created by T. Madas

4
x2

1
x2

3

−1

2
T

2x − 5
1− x


Created by T. Madas
Question 52
Rearrange the following formulae for the variable written inside the square bracket.
x+a
[ x]
x+b

(****)

x=

a − by
y −1

tk
= k − 1 [k ]
h

(****)

k=

h
h−t

a) y =

b)

c) T =

Q
[Q]
Q+2

(****)

Q=

2T
1−T

d) y =

x+k
[ x]
2x + k

(****)

x=

k ( y − 1) k (1 − y )
=
1− 2 y
2 y −1

e)

x +1
y
=
x
y +1

[ y]

(****)

y = − x −1

f)

x +1 y − 2
=
x −1 y + 3

[ y]

(****)

y=

−5 x − 1
2

(****+)

x=

Ta − 2
Ta + 2

(****+)

y=±

g) T =

2 (1 + x )
[ x]
a (1 − x )

h) y = x y 2 + 1 [ y ]

Created by T. Madas

x

1 − x2