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\(6x+4x-2x=2010\)
\(10x-2x=2010\)
\(8x=2010\)
\(\Rightarrow x=\frac{1005}{4}=251,25\)
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a) \(\left(x-10\right).11=0\Rightarrow x-10=0\Rightarrow x=10\)
b) \(6x+4x=2010\Rightarrow10x=2010\Rightarrow x=201\)
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Giải:
a) \(6x+4x=2010\)
\(\Leftrightarrow10x=2010\)
\(\Leftrightarrow x=\dfrac{2010}{10}\)
\(\Leftrightarrow x=201\)
b) \(1+2+...+x=45\)
\(\Leftrightarrow\dfrac{\left(x+1\right).x}{2}=45\)
\(\Leftrightarrow\left(x+1\right).x=90\)
Mà \(90=9.10\)
\(\Leftrightarrow x=9\)
c) \(1+3+5+...+x=36\)
\(\Leftrightarrow\dfrac{\left[\left(x-1\right):2+1\right].\left(x+1\right)}{2}=36\)
\(\Leftrightarrow\left[\left(x-1\right):2+1\right].\left(x+1\right)=72\)
\(\Leftrightarrow\left[\left(x-1\right).\dfrac{1}{2}+1\right].\left(x+1\right)=72\)
\(\Leftrightarrow\left(\dfrac{1}{2}x-\dfrac{1}{2}+1\right).\left(x+1\right)=72\)
Mà \(72=6.12\)
\(\Leftrightarrow x=11\)
Chúc bạn học tốt!
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Ta có:
a)\(25< 2^x< 3125\)
\(\Rightarrow2^4< 2^x< 2^{12}\)
\(\Rightarrow4< x< 12\)
b)\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=7450\)
\(\Rightarrow100x+5050=7450\Rightarrow10x=2400\Rightarrow x=240\)
c)\(1+2+3+..+x=\frac{x\left(x+1\right)}{2}=78.\)
\(\Rightarrow x\left(x+1\right)=156\)\(\Rightarrow x=12\)
d)\(12x+13x=25x=2000\Rightarrow x=80\)
e)\(6x+4x=10x=2010\Rightarrow x=201\)
\(6x+4x=2010\)
\(x\cdot\left(6+4\right)=2010\)
\(x\cdot10=2010\)
\(x=2010\div10\)
\(x=201\)
6x + 4x = 2010
10x = 2010
x = 2010 : 10
x = 201