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a) 142.16-(7.25+4x) = (64.157) :16
142.16-(7.25+4x)=10048:16
142.16-(7.25+4x)=628
2272-(175+4x)=628
175+4x=2272-628
175+4x=1644
4x=1644-175
4x=1469
x=1469:4
x=367,25
b, [(7x+23):36-25]:29=324
(7x+23):36-25=324.29
(7x+23):36-25=9396
(7x+23):36=9396+25
(7x+23):36=9421
7x+23=9421.36
7x+23=339156
7x=339156-23
7x=339133
x=339133:7
x=48447,57143
a: \(\Leftrightarrow142\cdot16-7\cdot25-4x=4\cdot157\)
\(\Leftrightarrow2097-4x=628\)
=>4x=1469
hay x=1469/4
b: \(\Leftrightarrow\left[\left(7x+23\right):36-2704\right]=324\cdot29=9396\)
\(\Leftrightarrow\left(7x+23\right):36=12100\)
=>7x+23=435600
=>7x=435577
hay x=435577/7
<-6>.[3^2-<-2.^5]-<-11>
=<-6>.[9-<-10>]-<-11>
=<-6>.19-<-11>
= -114-<-11>
= -103
75 . <-29>+29.<-25>
=<-75>.29+29.<-25>
=29.<-75+-25>
=29.<-100>
=-2900
Đặt \(A=\left(-1\right).\left(-1\right)^2.\left(-1\right)^3......\left(-1\right)^{2017}=\left(-1\right).1.\left(-1\right)....1.\left(-1\right)\)
Ta thấy có 1008 thừa số 1 và 1009 thừa số -1 nên suy ra
\(A=1.\left(-1\right)=-1\)
a) \(142\cdot4^2-\left(7\cdot5^2+4x\right)=\left(4^3\cdot157\right):4^2\)
\(\Leftrightarrow142\cdot16-\left(7\cdot25+4x\right)=\left(64\cdot157\right):16\)
\(\Leftrightarrow2272-\left(175+4x\right)=10048:16\)
\(\Leftrightarrow2272-145-4x=628\)
\(\Leftrightarrow2097-4x=628\)
\(\Leftrightarrow-4x=-1469\)
\(\Leftrightarrow x=\dfrac{1469}{4}\)
Vậy \(x=\dfrac{1469}{4}\)
b) \(\left[\left(7x+23\right):6^2-5^2\right]:29=18^2\)
\(\Leftrightarrow\left(\dfrac{7x+23}{6^2}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\left(\dfrac{7x+23}{36}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x+23-900}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{1044}=18\)
\(\Leftrightarrow7x-877=18792\)
\(\Leftrightarrow7x=18792+877\)
\(\Leftrightarrow7x=19669\)
\(\Leftrightarrow x=\dfrac{19669}{7}\)