Question

a) (-396) + 2016 + 189 + (-604) -109

b) 10-| x + 3|= -8-10

c)707: [( \(^{2^x}\) - 5) + 74=\(4^2\) - \(3^2\),x thuộc N

d) 57-(x+5) = 35- (-2)

e)28- | x+7| = -4-(-21)

Answer 1

a) \(\left(-396\right)+2016+189+\left(-604\right)-109\)

\(=-396+2016+189-604-109\)

\(=-\left(396-2016\right)+189-604-109\)

\(=-\left(-1620\right)+189-604-109\)

\(=1620+189-604-109\)

\(=1809-604-109\)

\(=1205-109\)

\(=1096\)

b) \(10-\left|x+3\right|=-8-10\)

\(\Leftrightarrow10-\left|x+3\right|=-\left(8+10\right)\)

\(\Leftrightarrow10-\left|x+3\right|=-18\)

\(\Leftrightarrow\left|x+3\right|=10-\left(-18\right)\)

\(\Leftrightarrow\left|x+3\right|=10+18\)

\(\Leftrightarrow\left|x+3\right|=28\)

Xét trường hợp 1: \(x+3=28\)

\(\Rightarrow x=28-3\)

\(\Rightarrow x=25\)

Xét trường hợp 2: \(x+3=-28\)

\(\Rightarrow x=-28-3\)

\(\Rightarrow x=-\left(28+3\right)\)

\(\Rightarrow x=-31\)

Vậy \(x=25\) hoặc \(x=-31\)