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d)
\(152-3.\left\{\left[32-2\left(36\div x^2+7\right)\right]+42\right\}=-4\)
\(\Rightarrow3.\left\{\left[32-2\left(36\div x^2+7\right)\right]+42\right\}=152-\left(-4\right)\)
\(\Rightarrow3.\left\{\left[32-2\left(36\div x^2+7\right)\right]+42\right\}=156\)
\(\Rightarrow\left[32-2\left(36\div x^2+7\right)\right]+42=156\div3\)
\(\Rightarrow\left[32-2\left(36\div x^2+7\right)\right]+42=52\)
\(\Rightarrow32-2\left(36\div x^2+7\right)=52-42\)
\(\Rightarrow32-2\left(36\div x^2+7\right)=10\)
\(\Rightarrow2\left(36\div x^2+7\right)=32-10\)
\(\Rightarrow2\left(36\div x^2+7\right)=22\)
\(\Rightarrow36\div x^2+7=22\div2\)
\(\Rightarrow36\div x^2+7=11\)
\(\Rightarrow36\div x^2=11-7\)
\(\Rightarrow36\div x^2=4\)
\(\Rightarrow x^2=36\div4\)
\(\Rightarrow x^2=9\)
\(\Rightarrow x^2=3^2\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
5) 24*(15+49)+12*(50+42)
=24*64+12*92
=24*64+12*2*46
=24*64+24*46
=24*(64+46)
=24*110
=2640
-3/11.(-22)/66.121/15
=(-3).(-22).121
11.66.15
=11
15
3/7.2/5.7/3.20.19/72
=3.2.7.20.19
7.5.3.72
=76
16
6/7.8/13+6/13.9/7-3/13.6/7
=6/7.8/13+6/7.9/13-3/13.6/7
=6/7.(8/13+9/13-3/13)
=6/7.14/13
=12/13
-1/4.152/11+68/4.(-1)/11
=152/4.(-1)/11+68/4.(-1)/11
=(-1)/11.(152/4+68/4)
=(-1)/11.220/4
=-110/22
-5/7.2/11+(-5)/7.9/11+12/7
=-5/7.2/11+-5/7.9/11+12/7
=-5/7.(2/11+9/11)+12/7
=-5/7.1+12/7
=(-5)/7+12/7
=7/7
=1
146/13-(18/7+68/13)
=146/13-18/7-68/13
=(146/13-68/13)-18/7
=78/13-18/7
=6-18/7
=42/7-18/7
=24/7
Câu 3:
a: 12-15=-3
b: -4+22=18
c: =16-9x(34-25)=16-9x9=16-81=-65
Câu 2:
a: \(x\in\left\{-20;-19;...;19;20\right\}\)
tổng là 0
b: \(x\in\left\{1;2;3;...;29\right\}\)
Số số hạng là 29-1+1=29(số)
Tổng là 15x29=435
42 x 13 - 22 x 5 + 42 x 7 - 15 x 22
= (42 x 13 + 42 x 7) - (22 x 5 + 15 x 22)
= [42 x (13 + 7)] - [22 x (5 + 15)]
= 42 x 20 - 22 x 20
= 20 x (42 - 22)
= 20 x 20
= 400
\(42\cdot13-22\cdot5+42\cdot7-15\cdot22\)
\(=42\cdot\left(13+7\right)-22\cdot\left(5+15\right)\)
\(=42\cdot20-22\cdot20\)
\(=20\cdot\left(42-22\right)\)
\(=20\cdot20\)
\(=400\)
\(15^2-\left(15+9\right):2^2+3\left(4^2+1\right)\)
= \(225-24:4+3.17\)
\(=225-6+51\)
\(=219+51\)
\(=270\)
152-(15+9):22+3(42+1)
= 225 - (15 + 9) : 4 + 3 . ( 16 + 1)
= 225 - 24 : 4 + 3 . 17
= 225 - 6 + 51
= 119 + 51
= 170