$PT\iff x^2-2xy+y^2=35xy-5x^2{y}^2-60$

$\iff {\left(x-y\right)}^2=5\left(3-xy\right)\left(xy-4\right)$

Mà ${\left(x-y\right)}^2\ge 0\forall x;y$ nên $5\left(3-xy\right)\left(xy-4\right)\ge 0\iff 3\le xy\le 4$ 

$\Rightarrow \text{hept}\{\begin{array}{l}x;y\in \left\{3;4\right\}\\ x=y\end{array}$ $\Rightarrow \left(x;y\right)\in \left\{\left(2;2\right);\left(-2;-2\right)\right\}$

125 + ( X - 25) x 5 + X = 150

           ( X - 25) x 5 + X = 150 - 125

           ( X - 25) x 5 + X = 25

    Suy ra : (X - 25) + X = 25 : 5

            =    (X - 25) + X = 5

X - 25 + X = 5

Vậy X =  25 - 5

 Tương ứng với X = 20

a. 

�
(
−
1
)
=
�
−
�
+
�
f(−1)=a−b+c

�
(
−
4
)
=
16
�
−
4
�
+
�
f(−4)=16a−4b+c

⇒
�
(
−
4
)
−
6
�
(
−
1
)
=
16
�
−
4
�
+
�
−
6
(
�
−
�
+
�
)
=
10
�
+
2
�
−
5
�
=
0
⇒f(−4)−6f(−1)=16a−4b+c−6(a−b+c)=10a+2b−5c=0

⇒
�
(
−
4
)
=
6
�
(
−
1
)
⇒f(−4)=6f(−1)

⇒
�
(
−
1
)
�
(
−
4
)
=
�
(
−
1
)
.
6
�
(
−
1
)
=
6
[
�
(
−
1
)
]
2
≥
0
⇒f(−1)f(−4)=f(−1).6f(−1)=6[f(−1)] 
2
 ≥0 (đpcm)

b.

�
(
−
2
)
=
4
�
−
2
�
+
�
f(−2)=4a−2b+c

�
(
3
)
=
9
�
+
3
�
+
�
f(3)=9a+3b+c

⇒
�
(
−
2
)
+
�
(
3
)
=
13
�
+
�
+
2
�
=
0
⇒f(−2)+f(3)=13a+b+2c=0

⇒
�
(
−
2
)
=
−
�
(
3
)
⇒f(−2)=−f(3)

⇒
�
(
−
2
)
�
(
3
)
=
−
[
�
(
3
)
]
2
≤
0
⇒f(−2)f(3)=−[f(3)] 
2
 ≤0 (đpcm

25 và 52 nhé

Ta có: 

aba.ab = abab

aba.ab = ab.100 + ab

aba.ab = ab. ( 100 + 1 )

aba.ab = ab.101 

từ đó: suy ra aba = 101

Vậy aba = 101

Đoạn văn trên có:2 câu ghép

132/462=2/7