Tìm X
X x 6.5 + 35.75 = 52
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x * 6,5 = 20 - 3,5
x * 6,5 = 16 ,5
x = 16 ,5 : 6,5
x = 2 ,538461...
k nha
\(x=\frac{10^2.5^3.15^6}{3^6.5^{10}}=\frac{\left(2.5\right)^2.\left(3.5\right)^6}{3^6.5^7}=\frac{2^2.5^2.3^6.5^6}{3^6.5^7}=2^2.5=20\)
Vậy x = 20
\(5^{x+1}+6.5^{x+1}=875\)
\(\Rightarrow5^{x+1}.\left(1+6\right)=875\)
\(\Rightarrow5^{x+1}.7=875\)
\(\Rightarrow5^{x+1}=875:7=125\)
\(\Rightarrow5^{x+1}=5^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=3-1=2\)
1/x : 0,2 + 2/x : 0,25 =6,5
1/x : 1/5 + 2/x : 1/4=6,5
1/x x 5/1 + 2/x x 4/1 = 6,5
5/x+8/x = 6,5
13/x=6,5
13:x=6,5
x=13:6,5
x=2
XCâu 1 : \(0,36\times630+0,6\times36\times6+3,6\)
\(=0,36\times10\times63+0,6\times6\times36+3,6\)
\(=3,6\times63+3,6\times36+3,6\)
\(=3,6\times\left(63+36+1\right)\)
\(=3,6\times100\)
\(=360\)
Câu 2 :\(3,5\times20,2+6,5\times27,9+3,5\times2,2-6,5\times5,5\)
\(=3,5\times\left(20,2+2,2\right)+6,5\times\left(27,9-5,5\right)\)
\(=3,5\times22,4+6,5\times22,4\)
\(=22,4\times\left(3,5+6,5\right)\)
\(=22,4\times10\)
\(=224\)
Đặt \(A=\frac{1}{2.3}+\frac{1}{6.5}+\frac{1}{10.7}+...+\frac{1}{198.101}.\)
\(2A=\frac{2}{2.3}+\frac{2}{6.5}+\frac{2}{10.7}+...+\frac{2}{198.101}\)
\(=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{99.101}\)
\(4A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{99.101}\)
\(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{101}\)
\(=\frac{1}{1}-\frac{1}{101}\)\(=\frac{100}{101}\)
\(A=\frac{100}{101}\div4=\frac{25}{101}\)
\(\Rightarrow\frac{25}{101}x=1\)
\(x=1\div\frac{25}{101}=\frac{101}{25}\)
c) \(\left|x\right|=3,5\Rightarrow\left[{}\begin{matrix}x=3,5\\x=-3,5\end{matrix}\right.\)
d) \(\left|x\right|=-2,7\Rightarrow x\in\varnothing\)
l) \(\left|x+\dfrac{3}{4}\right|-5=-2\Rightarrow\left|x+\dfrac{3}{4}\right|=3\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{3}{4}=3\\x+\dfrac{3}{4}=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3-\dfrac{3}{4}\\x=-3-\dfrac{3}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{9}{4}\\x=\dfrac{15}{4}\end{matrix}\right.\)
Đính chính câu l \(x=-\dfrac{15}{4}\) không phải \(x=\dfrac{15}{4}\)
X x 6,5 + 35,75 = 52
X = (52 - 35,75 ) : 6,5
X = 16,25 : 6,5
X = 2,5
x * 6.5 + 35.75 = 52
x * 6.5 = 52 - 35.75
x * 6.5 = 16.25
x = 16.25 / 6.5
x = 2.5