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a) A= 100 - 116 : 4
=100-29
=71
b) B= 100 - [ 116 - (13 - 5)2]
=100-[116-82]
=100-(116-64)
=100-52
=48
c) C= |- 65| + (- 42) + |65|
= 65+(-42)+65
= 88
![](https://rs.olm.vn/images/avt/0.png?1311)
\(100-\left(116-\left(13-5^2\right)\right)=100-\left(116-\left(-12\right)\right)\)
\(=100-\left(116+12\right)=100-128=-28\)
100-[116-(13-52)]
=100-[116-(13-25)]
=100-(116-13+25)
=100-(103+25)
=100-128
=-28
![](https://rs.olm.vn/images/avt/0.png?1311)
\(100-\left[116-\left(13-5\right)^2\right]\)
\(=100-\left(116-8^2\right)\)
\(=100-\left(116-64\right)\)
\(=100-52\)
\(=48\)
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a) Ta có: x 2 = 2 2 nên x = 2.
b) Ta có: x 2 = 5 2 nên x = 5.
c) Ta có: 3 x 5 = 3 nên x 5 = 1 . Do đó x = 1.
d) Ta có: 6 x 3 = 48 nên x 3 = 8 . Do đó x = 2.
e) Ta có: x - 1 2 = 2 2 nên x - 1 = 2 . Do đó x = 3.
f) Ta có: x + 1 2 = 5 2 nên x +1 = 5. Do đó x = 4.
g) Ta có: x - 1 3 = 3 3 nên x - 1 = 3 . Do đó x = 4.
h) Ta có: x + 1 3 = 4 3 nên x +1 = 4. Do đó x = 3
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a ) A = 5 11 . 5 7 + 5 11 . 2 7 + 6 11 = 5 11 . 5 7 + 2 7 + 6 11 = 5 11 + 6 11 = 1
b ) B = 3 13 . 6 11 + 3 13 . 9 11 − 3 13 . 4 11 = 3 13 . 6 11 + 9 11 − 4 11 = 3 13 . 11 11 . c ) C = 12 61 − 31 22 + 14 91 3 6 − 2 6 − 1 6 = 12 61 − 31 22 + 14 91 .0 = 0
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Câu 1
=> ( 2x-15)^3 - (2x -15)^5=0
(2x-15)^3 * ( -(2x-15)^2+1) =0
xét 2 TH : + (2x-15)^3=0
+ 1-(2x-15)^2 =0
=> ĐPCM
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\(13\cdot16+13\cdot\left(-116\right)+17\cdot\left(-100\right)\)
\(=13\left(16+-116\right)+17\cdot\left(-100\right)\)
\(=13\cdot\left(-100\right)+17\cdot\left(-100\right)\)
\(=\left(-100\right)\cdot\left(13+17\right)=30\cdot\left(-100\right)=-3000\)
13.16+13.(-116)+17.(-100)
=13.(-116+16)+17.(-100)
=13.(-100)+17.(-100)
=(-100).(13+17)
=-100.30
=(-3000)
\(611-\left[2.\left(x^2-13\right)+116\right]=449.\)
\(\Rightarrow2.\left(x^2-13\right)+116=611-449\)
\(\Rightarrow2.\left(x^2-13\right)+116=162\)
\(\Rightarrow2.\left(x^2-13\right)=162-116\)
\(\Rightarrow2.\left(x^2-13\right)=46\)
\(\Rightarrow x^2-13=46:2\)
\(\Rightarrow x^2-13=23\)
\(\Rightarrow x^2=23+13\)
\(\Rightarrow x^2=36\)
\(\Rightarrow x=\orbr{\begin{cases}6\\-6\end{cases}}\)
611 - [ 2 * ( x2 - 13 ) + 116 ] = 449
2(x2 - 13 ) +116 = 162
2 * ( x2 - 13 ) = 162 - 116
2 * ( x2 - 13 ) = 46
x2 - 13 = 23
x2 = 36
x = 6
Vậy x = 6