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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
\(92.4-27=\frac{a+350}{a}+315\)
\(368-27=\frac{a+350}{a}+315\)
\(368-27=1+\frac{350}{a}+315\)
\(341=\frac{350}{a}+316\)
\(341-316=\frac{350}{a}\)
\(25=\frac{350}{a}\)
\(25a=350\)
\(a=350:25\)
\(a=14\)
\(92.4-27=\frac{a+350}{a}+315\)
\(\Rightarrow368-27=1+\frac{350}{a}+315\)
\(\Rightarrow341-1-315=\frac{350}{a}\)
\(\Rightarrow25=\frac{350}{a}\)
\(\Rightarrow a=\frac{350}{25}=14\)
a) \(697:\frac{15a+364}{a}=17\)
\(\Rightarrow\frac{15a+364}{a}=697:17\)
\(\Rightarrow\frac{15a+364}{a}=41\)
\(\Rightarrow15a+364=41a\)
\(\Rightarrow364=26a\Rightarrow a=364:26\)
\(\Rightarrow a=14\)
b)
\(368-27=\frac{a+350}{a}+315\)
\(341=\frac{a+350}{a}+315\)
\(\left(a+350\right):a=341-315\)
\(\left(a+350\right):a=26\)
\(a+350=26a\)
\(\Rightarrow350=25a\)
\(\Rightarrow a=14\)
\(697:\frac{15x+364}{x}=17\)
\(\frac{15x+364}{x}=697:17=41\)
\(\frac{15x}{x}+\frac{364}{x}=41\)
\(15+\frac{364}{x}=41\)
\(\frac{364}{x}=41-15=26\)
\(x=364:26=14\)
\(92.4-27=\frac{x+350}{x}+315\)
\(\frac{x+350}{x}+315=341\)
\(\frac{x+350}{x}=341-315=26\)
\(\frac{x}{x}+\frac{350}{x}=26\)
\(1+\frac{350}{x}=26\)
\(\frac{350}{x}=26-1=25\)
\(x=350:25=14\)
\(92×4-27=315+\frac{x+350}{x}\Leftrightarrow368-27=315+\frac{x+350}{x}\Leftrightarrow368-27-315=\frac{x+35}{x}\)\(\Leftrightarrow26=\frac{x+350}{x}\Leftrightarrow26-\frac{x+350}{x}=0\Leftrightarrow\frac{25x-350}{x}=0\Leftrightarrow25x-350=0\Leftrightarrow25x=350\Leftrightarrow x=14\)