Tìm x ∈ Z , biết: a) (x – 2) ² – 5 = 20. b) x/3 = 18/2. 24/09/2021 Bởi Eliza Tìm x ∈ Z , biết: a) (x – 2) ² – 5 = 20. b) x/3 = 18/2.
a) `(x-2)^2-5=20` `(x-2)^2=20+5` `(x-2)^2=25` `(x-2)^2=5^2=(-5)^2` TH1: `x-2=5` `x=5+2` `x=7` TH2: `x-2=-5` `x=-5+2` `x=-3` Vậy `x=7;x=-3`. b) `x/3=18/2` `x/3=9` `x=9.3` `x=27` Bình luận
`a, (x – 2)^2 – 5 = 20` `⇒ (x – 2)^2 = 25` `⇒` \(\left[ \begin{array}{l}x – 2=5\\x – 2=-5\end{array} \right.\) `⇒` \(\left[ \begin{array}{l}x = 7\\x= -3\end{array} \right.\) `b, x/3 = 18/2` `⇒ 2x = 54` `⇒ x = 54 : 2` `⇒ x = 27` Bình luận
a) `(x-2)^2-5=20`
`(x-2)^2=20+5`
`(x-2)^2=25`
`(x-2)^2=5^2=(-5)^2`
TH1: `x-2=5`
`x=5+2`
`x=7`
TH2: `x-2=-5`
`x=-5+2`
`x=-3`
Vậy `x=7;x=-3`.
b) `x/3=18/2`
`x/3=9`
`x=9.3`
`x=27`
`a, (x – 2)^2 – 5 = 20`
`⇒ (x – 2)^2 = 25`
`⇒` \(\left[ \begin{array}{l}x – 2=5\\x – 2=-5\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x = 7\\x= -3\end{array} \right.\)
`b, x/3 = 18/2`
`⇒ 2x = 54`
`⇒ x = 54 : 2`
`⇒ x = 27`