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2\(^{x-3}\) -3.2\(^x\) = -92
2\(^{x-3}\).(1 - 3.23) = (-92)
2\(^{x-3}\).(-23) = (-92)
2\(^{x-3}\) = (-92) : (-23)
2\(^{x-3}\) = 4
2\(^{x-3}\) = 22
\(x-3\) = 2
\(x\) = 2 + 3
\(x\) = 5
b) \(\left(x-3\right)^2=0,25\)
\(\Rightarrow\left(x-3\right)^2=\left(\pm0,5\right)^2\)
\(\Rightarrow x-3=\pm0,5.\)
\(\Rightarrow\left[{}\begin{matrix}x-3=0,5\\x-3=-0,5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0,5+3\\x=\left(-0,5\right)+3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3,5\\x=2,5\end{matrix}\right.\)
Vậy \(x\in\left\{3,5;2,5\right\}.\)
c) \(\left(2x-1,5\right)^3=\left(-0,27\right)\) (câu này sai đề rồi nhé).
d) \(3.2x+\left(-1,2\right).x+2,7=\left(-4,9\right)\)
\(\Rightarrow3.2x+\left(-1,2\right).x=\left(-4,9\right)-2,7\)
\(\Rightarrow3.2x+\left(-1,2\right).x=-7,6\)
\(\Rightarrow6.x+\left(-1,2\right).x=-7,6\)
\(\Rightarrow\left[6+\left(-1,2\right)\right].x=-7,6\)
\(\Rightarrow4,8.x=-7,6\)
\(\Rightarrow x=\left(-7,6\right):4,8\)
\(\Rightarrow x=-\frac{19}{12}\)
Vậy \(x=-\frac{19}{12}.\)
Chúc bạn học tốt!
b) (x-3)\(^2\) = 0,25
(x-3)\(^2\) = (0,5)\(^2\)
x-3 = 0,5
x = 0,5 + 3
x = 0,8
\(3.2\times x\left(-1.2\right)\times x+2.7=-4.9\) câu a nhé
\(-5.6\times x+2.9\times x-3.86=-9.8\) câu b nhé
cảm ơn các bạn nhìu
3.2x+(-1.2)*x+2.7=-4.9
(3.2+(-1.2)*x=-4.9-2.7
2*x=-76
x=-76/2
x=-38
\(28+\left(2x+3\right)^3=92\Leftrightarrow\left(2x+3\right)^3=92-28=64=4^3\)
\(\Rightarrow2x+3=4\Leftrightarrow2x=1\Leftrightarrow x=\frac{1}{2}\)
\( 28 + {\left( {2x + 3} \right)^3} = 92\\ \Leftrightarrow 28 + 4{x^2} + 12x + 9 + 92\\ \Leftrightarrow 37 + 4{x^2} + 12x - 92 = 0\\ \Leftrightarrow - 55 + 4{x^2} + 12x = 0\\ \Leftrightarrow 4{x^2} + 12x - 55 = 0\\ \Leftrightarrow 4{x^2} + 22x - 10x - 55 = 0\\ \Leftrightarrow 2x\left( {2x + 11} \right) - 5\left( {2x + 11} \right) = 0\\ \Leftrightarrow \left( {2x + 11} \right)\left( {2x - 5} \right) = 0\\ \Leftrightarrow \left[ \begin{array}{l} 2x + 11 = 0\\ 2x - 5 = 0 \end{array} \right. \Leftrightarrow \left[ \begin{array}{l} x = - \dfrac{{11}}{2}\\ x = \dfrac{5}{2} \end{array} \right. \)
a) 3.2x+(-1.2)x+2.7= -4.9
⇔(3.2-1.2)x= -4.9-2.7
⇔2x= -7.6
⇔x= -7.6:2
⇔x= -3.8
b) \(\dfrac{37-x}{x+13}\)=\(\dfrac{3}{7}\)
⇔(37-x)*7=(x+13)*3
⇔259-7x=3x+39
⇔259-39=3x+7x
⇔220=10x
⇔x= 220:10
⇔x=22
a: =>\(4\cdot3^x\cdot\dfrac{1}{3}+2\cdot3^x\cdot9=4\cdot3^6+2\cdot3^9\)
=>3^x(4*1/3+2*9)=3^6(4+2*3^3)
=>3^x*58/3=3^6*58
=>3^x/3^6=3
=>x-6=1
=>x=7
b: =>\(2^x\cdot\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)=2^7\left(\dfrac{1}{5}+\dfrac{1}{3}\cdot2\right)\)
=>2^x=2^7
=>x=7
\(2x-3-3\cdot2x=-92\\\Rightarrow2x-3-6x=-92\\\Rightarrow2x-6x=-92+3\\\Rightarrow-4x=-89\\\Rightarrow x=-89:(-4)\\\Rightarrow x=\dfrac{89}{4}\)
2x – 3 – 3.2x = – 92.
2x-3-6x =-92
2x-6x =(-92)-3
2x-6x =-89
-4x =-89
x =(-89):(-4)
x =22.25
vậy x=22.25