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1) PT \(\Leftrightarrow\left(\dfrac{x+1}{35}+1\right)+\left(\dfrac{x+3}{33}+1\right)=\left(\dfrac{x+5}{31}+1\right)+\left(\dfrac{x+7}{29}+1\right)\)
\(\Leftrightarrow\dfrac{x+36}{35}+\dfrac{x+36}{33}=\dfrac{x+36}{31}+\dfrac{x+36}{29}\)
\(\Leftrightarrow\left(x+36\right)\left(\dfrac{1}{29}+\dfrac{1}{31}-\dfrac{1}{33}-\dfrac{1}{35}\right)=0\)
\(\Leftrightarrow x+36=0\) (Do \(\dfrac{1}{29}+\dfrac{1}{31}-\dfrac{1}{33}-\dfrac{1}{35}>0\))
\(\Leftrightarrow x=-36\).
Vậy nghiệm của pt là x = -36.
2) x(x+1)(x+2)(x+3)= 24
⇔ x.(x+3) . (x+2).(x+1) = 24
⇔(\(x^2\) + 3x) . (\(x^2\) + 3x + 2) = 24
Đặt \(x^2\)+ 3x = b
⇒ b . (b+2)= 24
Hay: \(b^2\) +2b = 24
⇔\(b^2\) + 2b + 1 = 25
⇔\(\left(b+1\right)^2\)= 25
+ Xét b+1 = 5 ⇒ b=4 ⇒ \(x^2\)+ 3x = 4 ⇒ \(x^2\)+4x-x-4=0 ⇒x(x+4)-(x+4)=0
⇒(x-1)(x+4)=0⇒x=1 và x=-4
+ Xét b+1 = -5 ⇒ b=-6 ⇒ \(x^2\)+3x=-6 ⇒\(x^2\) + 3x + 6=0
⇒\(x^2\) + 2.x.\(\dfrac{3}{2}\) + (\(\dfrac{3}{2}\))2 = - \(\dfrac{15}{4}\) Hay ( \(x^2\) +\(\dfrac{3}{2}\) )2= -\(\dfrac{15}{4}\) (vô lí)
⇒x= 1 và x= 4
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a) Ta có: \(\dfrac{AE}{AB}=\dfrac{2}{5}\)
\(\dfrac{AF}{AC}=\dfrac{4}{10}=\dfrac{2}{5}\)
Do đó: \(\dfrac{AE}{AB}=\dfrac{AF}{AC}\)\(\left(=\dfrac{2}{5}\right)\)
Xét ΔAEF và ΔABC có
\(\dfrac{AE}{AB}=\dfrac{AF}{AC}\)(cmt)
\(\widehat{A}\) chung
Do đó: ΔAEF\(\sim\)ΔABC(c-g-c)
Suy ra: \(\dfrac{AE}{AB}=\dfrac{EF}{BC}\)(Các cặp cạnh tương ứng tỉ lệ)
\(\Leftrightarrow\dfrac{2}{5}=\dfrac{EF}{12}\)
hay EF=4,8(cm)
Vậy: EF=4,8cm
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x3 _ x2 _ 4x - 4 = 0
x mũ 2(x+1)- 4(x+1)=0
(x mũ 2 - 4) (x+1)=0
(x+2) (x-2) (x+1) =0
suy ra (x+2)=0
(x-2)=0
(x+1)=0
vậy x=-2
x=2
x= -1
good luck!
Sửa đề : \(x^3-x^2-4x+4=0\)
\(\Leftrightarrow x^2\left(x-1\right)-4\left(x-1\right)=0\)
\(\Leftrightarrow\left(x^2-4\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+2\right)\left(x-1\right)=0\Leftrightarrow x=\pm2;1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
$P=4a^2+4a(b-3)+b^2-6b+9+3b^2-6b+3$
$=4a^2+2.2a.(b-3)+(b-3)^2+3.(b-1)^2$
$=(2a+b-3)^2+3.(b-1)^2$
Mà $(2a+b-3)^2 \geq 0;3.(b-1)^2 \geq 0$ với mọi $a;b$
Nên $P=(2a+b-3)^2+3.(b-1)^2 \geq 0$
Dấu $=$ xảy ra $⇔(2a+b-3)^2=0;3.(b-1)^2=0⇔2a+b-3=0;b=1⇔a=1;b=1$
Vậy $MinP=0$ tại $a=b=1$
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a) Xét ΔAEB vuông tại E và ΔAFC vuông tại F có
\(\widehat{FAC}\) chung
Do đó: ΔAEB∼ΔAFC(g-g)
b) Ta có: ΔAEB∼ΔAFC(cmt)
nên \(\dfrac{AE}{AF}=\dfrac{AB}{AC}\)(Các cặp cạnh tương ứng tỉ lệ)
hay \(\dfrac{AE}{AB}=\dfrac{AF}{AC}\)
Xét ΔAEF và ΔABC có
\(\dfrac{AE}{AB}=\dfrac{AF}{AC}\)(cmt)
\(\widehat{BAC}\) chung
Do đó: ΔAEF∼ΔABC(c-g-c)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (Bạn tự vẽ hình ạ)
Ta có AD.AB = AE.AC
⇒ \(\dfrac{AD}{AC}=\dfrac{AE}{AB}\)
Xét \(\Delta ABC\) và \(\Delta AED\) có:
\(\dfrac{AD}{AC}=\dfrac{AE}{AB}\)
\(\widehat{A}:chung\)
⇒ \(\Delta ABC\sim\Delta AED\) \(\left(c.g.c\right)\)
⇒ DE // BC
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a) Xét ΔAHB vuông tại H và ΔDAB vuông tại A có
\(\widehat{ABH}\) chung
Do đó: ΔAHB∼ΔDAB(g-g)
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Lời giải:
Vận tốc trung bình đi từ A đến B là:
$\frac{20+30}{2}=25$ (km/h)
Kiến thức cần nhớ:
Vận tốc trung bình bằng tổng quãng đường chia cho tổng thời gian đi hết quãng đường đó!
Công thức Vtb = \(\dfrac{S_1+S_2+...+S_n}{t_1+t_2+...+t_n}\)
Giải chi tiết:
Gọi quãng đường AB là: S (km); S > 0
Thời gian người đó đi hết nửa quãng đường đầu là:
\(\dfrac{S}{2}\) : 20 = \(\dfrac{S}{40}\) (giờ)
Thời gian người đó đi hết nửa quãng đường sau là:
\(\dfrac{S}{2}\) : 30 = \(\dfrac{S}{60}\) (giờ)
Vận tốc trung bình của người đó đi từ A đến B là:
Áp dụng công thức Vtb = \(\dfrac{S_1+S_2}{t_1+t_2}\) ta có
Vtb = \(\dfrac{S}{\dfrac{S}{40}+\dfrac{S}{60}}\)
Vtb = \(\dfrac{S}{S.\left(\dfrac{1}{40}+\dfrac{1}{60}\right)}\)
Vtb = \(\dfrac{1}{\dfrac{1}{24}}\)
Vtb = 24 (km/h)
Lời giải:
Xét tam giác $OAB$ và $OCD$ có:
$\widehat{AOB}=\widehat{COD}$ (đối đỉnh)
$\widehat{OAB}=\widehat{OCD}$ (so le trong)
$\Rightarrow \trianglw OAB\sim \triangle OCD$ (g.g)
$\Rightarrow \frac{OA}{OB}=\frac{OC}{OD}$
$\Rightarrow OA.OD=OB.OC$
Hình vẽ:
![](data:image/png;base64,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)