Bài 1.
Tìm số nguyên x
a.15-(30+x)=x-(27-|-8|)
b.(12x-4^3).8^3=4.8^4
c.[(10-x).2+51]:3-2=3
d.8≤|x-6|<9
Giúp mk với !Mk cần gấp
Bài 1.
Tìm số nguyên x
a.15-(30+x)=x-(27-|-8|)
b.(12x-4^3).8^3=4.8^4
c.[(10-x).2+51]:3-2=3
d.8≤|x-6|<9
Giúp mk với !Mk cần gấp
Đáp án:
`a.15-(30+x)=x-(27-|-8|)`
`15 – 30 – x = x – 19`
`-15 – x = x – 19 `
`-15 +19 = x +x `
`4 = 2x `
`-> x = 2`
Vậy `x =2`
`b.(12x-4^3).8^3=4.8^4`
`(12x – 2^6 ) . 2^9 = 2^2 . 2^12`
`12x – 2^6 = 2^2 . 2^12 : 2^9`
`12x – 64 = 2^5 = 32`
`-> 12x = 96 `
`-> x = 8`
Vậy `x = 8`
`c.[(10-x).2+51]:3-2=3`
`[(10-x).2+51]:3=5`
`(10-x).2+51 = 15`
`(10-x).2 = -36`
`10-x = -18`
`-> x = 28`
Vậy `x = 28`
`d,8≤|x-6|<9`
` -> |x-6| = 8`
`-> x -6 ∈ {-8,8}`
`->x ∈ { -2 , 14 }`
Vậy `x ∈ { -2 , 14 }`
`Go od luck!`
Đáp án+Giải thích các bước giải:
$a.15-(30+x)=x-(27-|-8|)$
$15-30-x=x-(27-8)$
$-15-x=x-19$
$⇔-15+19=x+x$
$⇔4=2x$
$⇔x=4:2$
$⇒x=2$
$b.(12x-4^3).8^3=4.8^4$
$(12x-2^6).2^9=2^2.2^{12}$
$12x-2^6=2^2.2^{12}:.2^9$
$12x-64=32$
$12x=96$
$⇒x=8$
$c.[(10-x).2+51]:3-2=3$
$[(10-x).2+51]:3=5$
$(10-x).2+51=15$
$(10-x).2=-36$
$10-x=-18$
$x=28$
$d.8≤|x-6|<9$
$=>|x-6|=8$
$⇔$\(\left[ \begin{array}{l}x-6=8\\x-6=-8\end{array} \right.\)$<=>$\(\left[ \begin{array}{l}x=14\\x=-2\end{array} \right.\)