Tìm x: a) (x-1)^2=4 b) (x+2)^3=8 Question Tìm x: a) (x-1)^2=4 b) (x+2)^3=8 in progress 0 Môn Toán Khang Minh 4 years 2020-10-28T21:24:15+00:00 2020-10-28T21:24:15+00:00 2 Answers 95 views 0
Answers ( )
`a) (x-1)^2=4`
`⇔(x-1)^2=2^2`
`(x-1)^2=-2^2`
`⇔x-1=2`
`x-1 =-2`
`⇒x=3`
`x=-1`
Vậy `x∈{3;-1}`
`b) (x+2)^3=8`
`⇔(x+2)^3=2^3`
`⇔x+2=2`
`⇒x=0`
Vậy `x=0`
`#Stduy well`
Đáp án:
Giải thích các bước giải:
a) `(x-1)^2=4`
`⇔ (x-1)^2=2^2`
`⇔` \(\left[ \begin{array}{l}x-1=2\\x-1=-2\end{array} \right.\)
`⇔` \(\left[ \begin{array}{l}x=3\\x=-1\end{array} \right.\)
Vậy `x=-1,x=3`
b) `(x+2)^3=8`
`⇔ (x+2)^3=2^3`
`⇔ x+2=2`
`⇔ x=0`
Vậy `x=0`