x.4+x.15=1919
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\(\frac{-15}{4}\times\frac{9}{11}+\frac{15}{4}\times\frac{15}{11}-\frac{15}{4}\times\frac{6}{11}\)
\(=\frac{15}{4}\times\left(\frac{-9}{11}+\frac{15}{11}-\frac{6}{11}\right)\)
\(=\frac{15}{4}\times0\)
\(=0\)
\(=\frac{15}{4}\times\left(-\frac{9}{11}\right)+\frac{15}{4}\times\frac{15}{11}+\frac{15}{4}\times\left(-\frac{6}{11}\right)\)
\(=\frac{15}{4}\times\left(-\frac{9}{11}+\frac{15}{11}+\left(-\frac{6}{11}\right)\right)\)
\(=\frac{15}{4}\times0\)
\(=0\)
\(\Rightarrow36^{15}<6^x<36^{16}\Rightarrow6^{30}<6^x<6^{32}\Rightarrow30
15/7 x X + 6/7 x X=1575
(15/7+6/7)x X=1575
3 x X=1575
X=1575 : 3
X=525
a) \(5+3^{x+1}=86\)
\(=>3^{x+1}=86-5\)
\(=>3^{x+1}=81=3^4\)
\(=>x+1=4\) ( cùng cơ số )
\(=>x=4-1\)
\(=>x=3\)
b) \(15:\left(x+2\right)=\left(3^3+3\right):10\)
\(=>15:\left(x+2\right)=\left(27+3\right):10\)
\(=>15:\left(x+2\right)=30:10=3\)
\(=>x+2=15:3\)
\(=>x+2=5\)
\(=>x=5-2\)
\(=>x=3\)
c) \(\left(9x+2\right).4=80\)
\(=>9x+2=80:4\)
\(=>9x+2=20\)
\(=>9x=20-2\)
\(=>9x=18\)
\(=>x=18:9\)
\(=>x=2\)
d) \(\left(245-x\right)+7^2=14\)
\(=>\left(245-x\right)+14=14\)
\(=>245-x=14-14\)
\(=>245-x=0\)
\(=>x=245-0\)
\(=>x=245\)
* \(20+65.4=\left(x+75\right):5+30\)
\(\Leftrightarrow20+260-30=\frac{x}{5}+\frac{75}{5}\)
\(\Leftrightarrow20+260-30-\frac{75}{5}=\frac{x}{5}\)
\(\Leftrightarrow235=\frac{x}{5}\Rightarrow x=235.5=1175\)
* \(2248:\left[119-\left(x-6\right)\right]=24\)
\(\Leftrightarrow2248:\left(119-x+6\right)=24\)
\(\Leftrightarrow2248:\left(125-x\right)=24\)
A mình lỡ tay, để mình tính tiếp nhá!
\(\Leftrightarrow125-x=2248:24\Leftrightarrow125-x=\frac{281}{3}\Rightarrow-x=\frac{94}{3}\Rightarrow x=-\frac{94}{3}\)(bài này mình thấy sai sai sao á, nếu mình làm sai thì thông cảm cho mình nhé!
* \(\left(x+70\right):14-40=\left(32.15\right):2\)
\(\Leftrightarrow\left(x+70\right):14=480:2+40\)
\(\Leftrightarrow\frac{x}{14}+5=280\Leftrightarrow\frac{x}{14}=275\Rightarrow x=3850\)
* \(x-4867=\left(175.2050.70\right):25+23\)
\(\Leftrightarrow x-4867-23=\left(175:25\right).\left(2050:25\right).\left(70:25\right)\)
\(\Leftrightarrow x-4890=7.82.\frac{14}{5}\)
\(\Leftrightarrow x-4890=\frac{8036}{5}\Rightarrow x=\frac{8036}{5}+4890=\frac{32486}{5}\)(bài này mình thấy hình như cũng có cái gì đó sai sai luôn hihi!)
\(1.\) \(-12\left(x-5\right)+7\left(3-x\right)=5\)
\(=>-12x+60+21-7x=5\)
\(=>-12x+81-7x=5\)
\(=>-12x-7x+81=5\)
\(=>-19x+81=5\)
\(=>-19x=-76\)
\(=>x=4\)
\(2.\) \(\left(x-2\right).\left(x+15\right)=0\)
\(=>\left[\begin{matrix}x-2=0\\x+15=0\end{matrix}\right.=>\left[\begin{matrix}x=2\\x=-15\end{matrix}\right.\)
\(3.\) \(\left(7-x\right).\left(x+19\right)=0\)
\(=>\left[\begin{matrix}7-x=0\\x+19=0\end{matrix}\right.=>\left[\begin{matrix}x=7\\x=-19\end{matrix}\right.\)
\(4.\) \(\left|x\right|< 3\)
Xét: x là số dương => x < 3
Xét: x là số âm => x < -3
x.4 + x.15 = 1919
=> x.19 = 1919
=> x = 1919/19
=> x = 101
x = 101
=> x.(4+15) = 1919
=> x.19 = 1919
=>x = 1919 : 19 = 101