9/20

44/35

155/9

52/35

a,\(=\dfrac{9}{20}\)
b,\(=\dfrac{44}{35}\)
c,\(=\dfrac{155}{9}\)
d,\(=\dfrac{52}{35}\)

a)\(2x\left(x-2016\right)-2x+4032=0\)

\(\Leftrightarrow2x\left(x-2016\right)-2\left(x-2016\right)=0\)

\(\Leftrightarrow\left(2x-2\right)\left(x-2016\right)=0\)

\(\Leftrightarrow2\left(x-1\right)\left(x-2016\right)=0\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x-1=0\\x-2016=0\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x=2016\end{array}\right.\)

b)\(5x\left(x-3\right)=x-3\)

\(\Leftrightarrow5x\left(x-3\right)-\left(x-3\right)=0\)

\(\Leftrightarrow\left(x-3\right)\left(5x-1\right)=0\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x-3=0\\5x-1=0\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=3\\x=\frac{1}{5}\end{array}\right.\)

c)\(\left(3x-1\right)^2=\left(x+2\right)^2\)

\(\Leftrightarrow\left(3x-1\right)^2-\left(x+2\right)^2=0\)

\(\Leftrightarrow\left(3x-1+x+2\right)\left[\left(3x-1\right)-\left(x+2\right)\right]=0\)

\(\Leftrightarrow\left(4x+1\right)\left(2x-3\right)=0\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}4x+1=0\\2x-3=0\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-\frac{1}{4}\\x=\frac{3}{2}\end{array}\right.\)

Câu a:

(x - 2)^2 + (y - 3)^3 = 0 (1)

(1) xảy ra khi và chỉ khi:

x - 2 = 0 và y - 3 = 0

x = 2 và y = 3

Vậy (x; y) = (2; 3)

Câu b:

(2x -1)^2002 + (y - 3/4)^2004 = 0 (1)

Vì (2x - 1)^2002 ≥ 0; (y - 3/4)^2004 ≥ 0 ∀ x; y

Nên: (1) xảy ra khi và chỉ khi:

2x - 1 = 0; x = 1/2; y - 3/4 = 0 y = 3/4

Vậy (x; y) = (1/2; 3/4)

10 + 2 nhân x = 1024 : 64

10+2 nhân x = 16

     2 nhân x = 16 - 10

     2 nhân x = 6

                x = 6 : 2

                x = 3

 10+2nhân x=4 mũ 5:4 mũ 3

10+2nhân x=4 mũ 2

10+2nhân x=16

     2nhân x=16-10

     2nhân x=6

                x=6:2

                x=3

a) 27 : x -\(\frac{1}{2}=\frac{15}{7}:5\)

27 : x -\(\frac{1}{2}\)= \(\frac{3}{7}\)

27 : x = \(\frac{3}{7}+\frac{1}{2}\)

27 : x =\(\frac{6}{14}+\frac{7}{14}\)

27 : x = \(\frac{13}{14}\) 

x = 27 : \(\frac{13}{14}\)

x = 27 . \(\frac{14}{13}\)

x = \(\frac{378}{13}\)

b) 2 . x - \(\frac{3}{4}\)= \(\frac{15}{9}.\frac{3}{5}\)

2 . x - \(\frac{3}{4}\)= 1

2 . x  = 1 + \(\frac{3}{4}\)

2 . x = \(\frac{7}{4}\)

x = \(\frac{7}{4}:2\)

x = \(\frac{7}{8}\)

cho mình đúng nha

Bạn giỏi lắm Thảo Anh

\(a,50\%x-0,2+x=\dfrac{4}{5}\)

\(\Leftrightarrow\dfrac{1}{2}x-0,2+x=\dfrac{4}{5}\)

\(\Leftrightarrow\dfrac{1}{2}x+x=\dfrac{4}{5}+0,2\)

\(\Leftrightarrow\dfrac{3}{2}x=\dfrac{4}{5}+\dfrac{1}{5}\)

\(\Leftrightarrow\dfrac{3}{2}x=1\)

\(\Leftrightarrow x=\dfrac{2}{3}\)

\(b,\left(x-\dfrac{3}{4}\right):\dfrac{1}{2}+\dfrac{3}{2}=\dfrac{25}{2}\)

\(\Leftrightarrow\left(x-\dfrac{3}{4}\right).2=\dfrac{25}{2}-\dfrac{3}{2}\)

\(\Leftrightarrow\left(x-\dfrac{3}{4}\right).2=\dfrac{22}{2}\)

\(\Leftrightarrow x-\dfrac{3}{4}=11:2\)

\(\Leftrightarrow x=\dfrac{11}{2}+\dfrac{3}{4}\)

\(\Leftrightarrow x=\dfrac{25}{4}\)

Ta có: \(3^x+3^{x+1}+3^{x+2}=351\)

\(\Rightarrow3^x.1+3^x.3+3^x.3^2^{ }=351\)

\(\Rightarrow3^x.1+3^x.3+3^x.9=351\)

\(\Rightarrow3^x.\left(1+3+9\right)=351\)

\(\Rightarrow3^x.13=351\)

\(\Rightarrow3^x=351:13=27\)

\(\Rightarrow x=3\)

3 k mk nha

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