26 - 3 . (2x - 3)2 = -72
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\(\dfrac{7}{10}:x=\dfrac{1}{2}\\ x=\dfrac{7}{10}:\dfrac{1}{2}\\ x=\dfrac{7}{5}\)
\(\dfrac{7}{10}\): \(x\) = \(\dfrac{1}{2}\)
\(x\) = \(\dfrac{7}{10}\): \(\dfrac{1}{2}\)
\(x\) = \(\dfrac{7}{5}\)

\(2.3^x+5.3^x.3=153\Leftrightarrow2.3^x+15.3^x=153\)
\(\Leftrightarrow17.3^x=153\Leftrightarrow3^x=9\Leftrightarrow x=2\)
\(\Leftrightarrow2.3^x+5.3.3^x=153\)
\(\Leftrightarrow17.3^x=3^2.17\)
\(\Leftrightarrow3^x=3^2\Rightarrow x=2\)

\(A=\dfrac{3x-1}{x+2}\inℕ\left(x\inℕ;x\ne-2\right)\)
\(\Rightarrow3x-1⋮x+2\)
\(\Rightarrow3x-1-3\left(x+2\right)⋮x+2\)
\(\Rightarrow3x-1-3x-6⋮x+2\)
\(\Rightarrow-7⋮x+2\)
\(\Rightarrow x+2\in U\left(7\right)=\left\{1;7\right\}\)
\(\Rightarrow x\in\left\{-1;5\right\}\)
\(\Rightarrow x\in\left\{5\right\}\left(x\inℕ\right)\)

Đặt \(A=2^x+2^{x+1}+...+2^{x+2021}=2^{x+2026-16}\)
Đặt \(2A=2^{x+1}+2^{x+2}+...+2^{x+2022}=2^{x+2027+32}\)
Ta lấy \(2A-A=2^{x+2022}-2^x=2^{2026-16}\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
\(2VT=2^{x+1}+2^{x+2}+2^{x+3}+...+2^{x+2022}\)
\(VT=2VT-VT=2^{x+2022}-2^x\)
\(\Rightarrow2^{x+2022}-2^x=2^{2026}-16\)
\(\Leftrightarrow2^{2022}.2^x-2^x=2^{2026}-2^4\)
\(\Leftrightarrow2^x\left(2^{2022}-1\right)=2^4\left(2^{2022}-1\right)\)
\(\Leftrightarrow2^x=2^4\Rightarrow x=4\)

\(\left(7x-11\right)^3=2^5.5^2+2.10^2\)
\(\Rightarrow\left(7x-11\right)^3=32.25+2.100\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
(7\(x\) - 11)3 = 25.52 + 2.102
(7\(x\) - 11)3 = 1000
(7\(x\) - 11)3 = 103
7\(x\) - 11 = 10
7\(x\) = 10 + 11
7\(x\) = 21
\(x\) = 21:7
\(x\) = 3

\(\dfrac{x-6}{1998}\) + \(\dfrac{x-4}{2000}\) = \(\dfrac{x-2000}{4}\) + \(\dfrac{x-1998}{6}\)
\(\dfrac{x-6}{1998}\) - 1 + \(\dfrac{x-4}{2000}\) - 1 = \(\dfrac{x-2000}{4}\) - 1 + \(\dfrac{x-1998}{6}\) - 1
\(\dfrac{x-6-1998}{1998}\) + \(\dfrac{x-4-2000}{2000}\) = \(\dfrac{x-2000-4}{4}\) + \(\dfrac{x-1998-6}{6}\)
\(\dfrac{x-2004}{1998}\) + \(\dfrac{x-2004}{2000}\) = \(\dfrac{x-2004}{4}\) + \(\dfrac{x-2004}{6}\)
(\(x-2004\)).[\(\dfrac{1}{1998}\) + \(\dfrac{1}{2000}\) - \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\)] = 0
\(x\) - 2004 = 0
\(x\) = 2004

có cái câu này nữa ah :(
HCN có nửa chu vi là 180m nếu Cr + 3m và giảm chiều dài 3m ta đc hình vuông.DT hình vuông là

\(80-7\left(x-7\right)=95-3^2.6\)
\(\Rightarrow80-7\left(x-7\right)=95-54\)
\(\Rightarrow80-7\left(x-7\right)=41\)
\(\Rightarrow7\left(x-7\right)=80-41\)
\(\Rightarrow7\left(x-7\right)=39\)
\(\Rightarrow x-7=\dfrac{39}{7}\)
\(\Rightarrow x=\dfrac{39}{7}+7\)
\(\Rightarrow x=\dfrac{39}{7}+\dfrac{49}{7}\)
\(\Rightarrow x=\dfrac{88}{7}\)
\(80-7\left(x-7\right)=95-3^2.6\)
\(80-7\left(x-7\right)=95-9.6\)
\(80-7\left(x-7\right)=95-54\)
\(80-7\left(x-7\right)=41\)
\(7\left(x-7\right)=80-41\)
\(7\left(x-7\right)=49\)
\(x-7=49:7\)
\(x-7=7\)
\(x=7+7\)
\(\Rightarrow x=14\)
x=29/3=9.667
Bài này toán lớp 7 rồi bạn.