|x|=13/11
giúp mình vs ạ
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
9/11 x 10/13 + 9/13 x 12/11 - 7/11
= 9/13 x 10/11 + 9/13 x 12/11 - 7/11
= 9/13 x (10/11 + 12/11) - 7/11
= 9/13 x 22/11 - 7/11
= 9/13 x 2 - 7/11
= 18/13 - 7/11
= 198/143 - 91/143
= 107/143
\(\dfrac{9}{11}\times\dfrac{10}{13}+\dfrac{9}{13}\times\dfrac{12}{11}-\dfrac{7}{11}=\dfrac{9}{13}\times\dfrac{10}{11}+\dfrac{9}{13}\times\dfrac{12}{11}-\dfrac{7}{11}=\dfrac{9}{13}\times\left(\dfrac{10}{11}+\dfrac{12}{11}\right)-\dfrac{7}{11}=\dfrac{9}{13}\times2-\dfrac{7}{11}=\dfrac{18}{13}-\dfrac{7}{11}=\dfrac{107}{143}\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{2x-y}{2\cdot3-5}=11\)
Do đó: x=33; y=55
\(VT=\sqrt{14}-\sqrt{13}=\dfrac{1}{\sqrt{14}+\sqrt{13}}\)
\(VP=2\sqrt{3}-\sqrt{11}=\sqrt{12}-\sqrt{11}=\dfrac{1}{\sqrt{12}+\sqrt{11}}\)
Ta thấy: \(\sqrt{14}+\sqrt{13}>\sqrt{12}+\sqrt{11}\)
\(\Leftrightarrow\dfrac{1}{\sqrt{14}+\sqrt{13}}< \dfrac{1}{\sqrt{12}+\sqrt{11}}\)
Hay \(VT< VP\)
Vậy \(\sqrt{14}-\sqrt{13}< 2\sqrt{3}-\sqrt{11}\)
\(\left(75:3+2.9^2\right):x=11\)
\(\left(25+2.81\right):x=11\)
\(\left(25+162\right):x=11\)
\(187:x=11\)
\(x=187:11\)
\(x=17\)
TL :
(75:3 + 2.9^2):x = 11
(25 + 162):x = 11
187:x = 11
x = 187: 11
x = 17.
\(\dfrac{1}{x}-\dfrac{y}{11}=-\dfrac{2}{11}\)
\(\dfrac{1}{x}=-\dfrac{2}{11}+\dfrac{y}{11}\)
\(\dfrac{1}{x}=\dfrac{y-2}{11}\)
\(x\left(y-2\right)=11\)
\(\Rightarrow x,\left(y-2\right)\inƯ\left(11\right)=\left\{1,-1,11,-11\right\}\)
có bảng sau :
x | 1 | -1 | 11 | -11 |
x | 1 | -1 | 11 | -11 |
y-2 | 11 | -11 | 1 | -1 |
y | 13 | -9 | 3 | 1 |
Vậy ...
\(\dfrac{1}{x}-\dfrac{y}{11}=-\dfrac{2}{11}\Rightarrow11-xy=-2x\)
\(\Leftrightarrow-2x+xy=11\Leftrightarrow x\left(-2+y\right)=11\)
\(\Rightarrow x;y-2\inƯ\left(11\right)=\left\{\pm1;\pm11\right\}\)
x | 1 | -1 | 11 | -11 |
y-2 | 11 | -11 | 1 | -1 |
y | 13 | -9 | 3 | 1 |
-x^2+6x-11
=-(x^2-6x+11)
=-(x^2-6x+9+2)
=-(x-3)^2-2<=-2
Dấu = xảy ra khi x=3
\(a,=\left(x+3\right)^3=\left(7+3\right)^3=10^3=1000\\ b,=\left(4-x\right)^3=\left(4-24\right)^3=\left(-20\right)^3=-8000\\ c,=\left(x-1\right)^3=\left(11-1\right)^3=10^3=1000\)
\(x=\hept{\begin{cases}\frac{13}{11}\\\frac{-13}{11}\end{cases}}\)
TH1
x=13/11
TH2
x=-13/11