Do ƯCLN(a; b) = 5 nên đặt a = 5x; b = 5y (x và y nguyên tố cùng nhau)

Do a + b = 300

⇒ 5x + 5y = 300

⇒ 5(x + y) = 300

⇒ x + y = 60

⇒ (x; y) ∈ {(1; 59); (7; 53); (11;49); (13; 47); (17; 43); (19; 41); (23; 37); (29; 31); (31; 29); (37; 23); (41; 19); (43; 17); (47; 13); (49; 11); (53; 7); (59; 1)}

⇒ (a; b) ∈ {(5; 295); (35; 265); (55; 245); (65; 235); (85; 215); (95; 205); (115; 185); (145; 155); (155; 145); (185; 115); (205; 95); (215; 85); (235; 65); (245; 55); (265; 35); (295; 5)}

A=25

B=275

1 The distance  from my home to  school is about 3 km

2 My mum used to live in a small village when she was small
3 Despite being a millionaire , he lives in a small flat 
4 when does the festive take place ?
5 It is about two kilometres from my home to school
6 he didn't use to ride his bike to school 
7 Despite having a test tomrrow , they are still watching TV now 

  | 1 - 2x | = 3x + 1

Ta có: | 1 - 2x | = 1 - 2x khi 1 - 2x ≥ 0 hay x ≥ 0,5 

Ta có: | 1 - 2x | = - (1 - 2x) = 2x - 1 khi 2x - 1 < 0 hay x < 0,5 

Với x ≥ 0,5:        1 - 2x = 3x + 1

                                  x = 0 ( loại )

Với x < 0,5:       2x - 1 = 3x + 1

                                 x =  - 2 ( nhận )

Vậy phương trình có tập nghiệm S = { - 2 }

Lời giải:

$(x-15)-x.13=0$

$x-15-x.13=0$

$(x-x.13)-15=0$

$x(1-13)-15=0$

$x.(-12)-15=0$

$x.(-12)=15$

$x=15:(-12)=\frac{-5}{4}$

em cần tất cả các bài à

chiều này cx đi hok à

UMMM có cần giúp nữa ko

Câu 5: 

\(\Leftrightarrow-x^2+7x-9+2x-9=0\)

\(\Leftrightarrow x^2-9x+18=0\)

=>x=3

=>Chọn A

36B

37C

38D

39B

40D

41A

42B

43B

44A

45B

46B

47A

48C

50B

51B

52B

53D

54C

55D

56C

a: Thay \(x=3+2\sqrt{2}\) vào A, ta được:

\(A=\dfrac{3+2\sqrt{2}-\sqrt{2}-1+2}{\sqrt{2}+1+3}=\dfrac{4+\sqrt{2}}{4+\sqrt{2}}=1\)

\(b,B=\dfrac{x-4+2\sqrt{x}+6-3\sqrt{x}-4}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}\\ B=\dfrac{x-\sqrt{x}+2}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}=\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}+3}\\ c,M=B:A=\dfrac{\sqrt{x}+1}{\sqrt{x}+3}\cdot\dfrac{\sqrt{x}+3}{x-\sqrt{x}+2}=\dfrac{\sqrt{x}+1}{x-\sqrt{x}+2}\\ M=\dfrac{x-\sqrt{x}+2-x+2\sqrt{x}-1}{x-\sqrt{x}+2}\\ M=1-\dfrac{x-2\sqrt{x}+1}{x-\sqrt{x}+2}=1-\dfrac{\left(\sqrt{x}-1\right)^2}{x-\sqrt{x}+2}\)

Ta có \(\left(\sqrt{x}-1\right)^2\ge0;x-\sqrt{x}+2=\left(\sqrt{x}-\dfrac{1}{2}\right)^2+\dfrac{7}{4}>0\)

Do đó \(\dfrac{\left(\sqrt{x}-1\right)^2}{x-\sqrt{x}+2}\ge0\)

\(\Leftrightarrow M=1-\dfrac{\left(\sqrt{x}-1\right)^2}{x-\sqrt{x}+2}\le1-0=1\)

Vậy \(M_{max}=1\Leftrightarrow\sqrt{x}=1\Leftrightarrow x=1\left(tm\right)\)