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a) x15 = x => x15 - x = 0 => x. x14 - x = 0 => x. (x14 - 1) = 0 => x = 0 hoặc x14 - 1 = 0
x14 - 1 = 0 => x14 = 1 => x = 1 hoặc x = -1
b) => (x - 5)4 - (x - 5)6 = 0 => (x - 5)4 - (x - 5)2. (x - 5)4 = 0 => (x - 5)4 . [1 - (x - 5)2] = 0
=> (x - 5)4 = 0 hoặc 1 - (x - 5)2 = 0
+) (x - 5)4 = 0 =>x - 5 = 0 => x = 5
+) 1 - (x - 5)2 = 0 => (x - 5)2 = 1 => x - 5 = 1 hoặc x - 5 = -1
=> x = 6 hoặc x = 4
Vậy...
c) => \(\frac{15.a+364}{a}=\frac{697}{17}\Rightarrow15+\frac{364}{a}=41\Rightarrow\frac{364}{a}=41-15=26\)=> a = 364: 26 = 14
d) => 368 - 27 = 1 + \(\frac{350}{a}\) + 315
=> 341 = 316 + \(\frac{350}{a}\)=> 350/a = 341 - 316 = 25 => a = 350/25 = 14
\(697:\frac{15\cdot x+364}{x}=17\)
=> \(\frac{15\cdot x+364}{x}=697:17=41\)
=> \(15\cdot x+364=41x\)
=> \(15x+364=41x\)
=> \(364=41x-15x\)
=> \(364=26x\)
=> \(x=364:26=14\)
\(\Rightarrow\frac{15x+364}{x}=697:17=41\)
\(\Rightarrow15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15=26\)
x = 364 : 26 = 14
b) \(697:\frac{15x+364}{x}=17\)
\(\frac{15x+364}{x}=697:17\)
\(\frac{15x+364}{x}=41\)
\(15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15\)
\(\frac{364}{x}=26\)
\(\Rightarrow x=14\)
a, \(\left(2x-4\right)\left(3x+12\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-4=0\\3x+12=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\3x=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
b, \(697\div\frac{15x+364}{x}=17\)
\(\Rightarrow\frac{15x+364}{x}=697\div17\)
\(\Rightarrow\left(15x+364\right)\div x=41\)
\(\Rightarrow15x+364=41x\)
\(\Rightarrow15x-41x=-364\)
\(\Rightarrow-26x=-364\)
\(\Rightarrow x=-364\div\left(-26\right)\)
\(\Rightarrow x=14\)
\(697:\left[\left(15x+364\right):x\right]=17\)
\(\left(15x+364\right):x=697:17\)
\(\left(15x+364\right):x=41\)
\(15x+364=41x\)
Ta có : 15x + 26x = 41x
=> 26x = 364
x = 364 : 26
x = 14
Vậy x = 14