giúp em với ạ, từng bài 1 thui ạ
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Bài 5:
a. \(\sqrt{x^2+2x+1}=\sqrt{9x^2}\)
<=> \(\sqrt{\left(x+1\right)^2}=\sqrt{\left(3x\right)^2}\)
<=> \(\left|x+1\right|=\left|3x\right|\)
<=> \(\left[{}\begin{matrix}x+1=3x\\x+1=-3x\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0,5\\x=-0,25\end{matrix}\right.\)
b. \(\sqrt{x^2-\dfrac{2}{5}x+\dfrac{1}{25}}=\sqrt{\left(2x+1\right)^2}\)
<=> \(\sqrt{\left(x-\dfrac{1}{5}\right)^2}=\sqrt{\left(2x+1\right)^2}\)
<=> \(\left|x-\dfrac{1}{5}\right|=\left|2x+1\right|\)
<=> \(\left[{}\begin{matrix}x-\dfrac{1}{5}=2x+1\\x-\dfrac{1}{5}=-2x-1\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=-1,2\\x=-\dfrac{4}{15}\end{matrix}\right.\)
c. \(\sqrt{25x^2}=\sqrt{x^4}\)
<=> \(\sqrt{\left(5x\right)^2}=\sqrt{\left(x^2\right)^2}\)
<=> \(\left|5x\right|=\left|x^2\right|\)
<=> \(\left[{}\begin{matrix}5x=x^2\\5x=-x^2\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}5x-x^2=0\\5x+x^2=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x\left(5-x\right)=0\\x\left(5+x\right)=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=0\\5-x=0\end{matrix}\right.\\\left[{}\begin{matrix}x=0\\5+x=0\end{matrix}\right.\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=0\\x=5\end{matrix}\right.\\\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)
1 C
2 A
3 D
4 C
5 B
6 A
7 C
8 C
9 B
10 A
11 B
12 D
13 D
14 C
15 D
16 D
17 B
18 C
19 A
20 B
21 C
22 A
23 B
24 B
25 B
26 C
27 A
28 A
29 A
30 C
31 C
32 D
33 B
34 A
35 B
NỐI TIẾP:
\(\left\{{}\begin{matrix}R=R1+R2\left(\Omega\right)\\I=I1=I2\left(A\right)\\U=U1+U2\left(V\right)\end{matrix}\right.\)
SONG SONG:
\(\left\{{}\begin{matrix}R=\dfrac{R1.R2}{R1+R2}\Omega\\I=I1+I2\left(A\right)\\U=U1=U2\left(V\right)\end{matrix}\right.\)
I: cường độ dòng điện (A)
U: Hiệu điện thế (V)
R: điện trở (\(\Omega\))
`(4\sqrt{6}+x)^2=8^2+(6+\sqrt{x^2+4})^2`
`<=>96+8\sqrt{6}x+x^2=64+36+12\sqrt{x^2+4}+x^2+4`
`<=>2\sqrt{6}x-2=3\sqrt{x^2+4}` `ĐK: x >= \sqrt{6}/6`
`<=>24x^2-8\sqrt{6}x+4=9x^2+36`
`<=>15x^2-8\sqrt{6}x-32=0`
`<=>x^2-[8\sqrt{6}]/15x-32/15=0`
`<=>(x-[4\sqrt{6}]/15)^2-64/25=0`
`<=>|x-[4\sqrt{6}]/15|=8/5`
`<=>[(x=[24+4\sqrt{6}]/15 (t//m)),(x=[-24+4\sqrt{6}]/15(ko t//m)):}`
#include <bits/stdc++.h>
using namespace std;
long long a[50],i,n,t;
int main()
{
cin>>n;
for (i=1; i<=n; i++)
{
cin>>a[i];
if (a[i]<0 || a[i]>10) cin>>a[i];
}
for (i=1; i<=n; i++) cout<<a[i]<<" ";
cout<<endl;
t=0;
for (i=1; i<=n; i++) t=t+a[i];
cout<<t;
return 0;
}
\(Bài.1,\dfrac{1212}{1515}=\dfrac{12}{15}=\dfrac{4}{5}\\ \dfrac{2424}{2828}=\dfrac{24}{28}=\dfrac{6}{7}\\ Bài.2,\dfrac{2}{5}< 1;\dfrac{5}{4}>1\\ \dfrac{2}{5}< \dfrac{5}{4}\\ \dfrac{4}{9}>\dfrac{4}{10}\)
\(1,\)
\(a,\dfrac{1212}{1515}=\dfrac{1212:303}{1515:303}=\dfrac{4}{5}\)
\(b,\dfrac{2424}{2828}=\dfrac{2424:404}{2828:404}=\dfrac{6}{7}\)
\(2,\)
\(a,\dfrac{2}{5}< \dfrac{5}{4};b,\dfrac{4}{9}>\dfrac{4}{10}\)