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Ta có : 1 + 3 + 5 + ..... + x = 1600
=> \(\frac{\text{[(x - 1) : 2 + 1](x + 1)}}{2}=1600\)
\(\Rightarrow\left(\frac{1}{2}x-\frac{1}{2}+1\right)\left(x+1\right)=3200\)
\(\Rightarrow\left(\frac{1}{2}x+\frac{1}{2}\right)\left(x+1\right)=3200\)
\(\Rightarrow\left(x+1\right)^2.\frac{1}{2}=3200\)
\(\Rightarrow\left(x+1\right)^2=6400\)
\(\Rightarrow x+1=80\)
=> x = 79
a,
13[x-9] = 169
=> x - 9 = 169/13
=> x - 9 = 13
=> x = 13+9
=> x = 22
b,
Viết lại đề:
7x+3 = 343
<=> 7x+3 = 73
=> x + 3 = 3
=> x = 3-3
=> x = 0
c,
230 + [16 + [x-5]] = 315 . 23
=> 230 + [16 + x - 5] = 315 . 8
=> 230 + 16 + x - 5 = 2520
=> 230 + 16 + x = 2520 + 5 = 2525
=> x = 2525 - 230 - 16 = 2279
d,
13.x - 32.x = 20171 - 12018
=> 13x - 9x = 2017 - 1
=> 4x = 2016
=> x = 504
a) 13 ( x-9 )=169
=> x-9 =169 : 13 =13
=> x=13+9 =22
b)\(7^{x+3}=343\)
\(7^x.7^3=343\)
\(7^x=343:7^3\)
\(7^x=1\Rightarrow x=1\)
c)230 + 16 +x -5 =315.8
241 +x =2520
x=2520-241=2279
d) 13x -\(3^2.x\)=2017-1
x(13-9)=2016
x.4=2016
x=2016:4
x=504
a) (54 + 57) . (89 - 27) . (24 - 42)
= (54 + 57) . (89 - 27) . (16 - 16)
= (54 + 57) . (89 - 27) . 0
= 0
b) (72003 + 72002) : 72001
= 72003 : 72001 + 72002 : 72001
= 72 + 7
= 49 + 7
= 53
c) (169 - 42 ) × ( 169 - 52 ) ×......× ( 169 - 132)
= (169 - 42 ) × ( 169 - 52 ) ×......× ( 169 - 169)
= (169 - 42 ) × ( 169 - 52 ) ×......× 0
= 0
Tìm x biết
7 × ( x - 14 ) + 39 = 25 + 279 ÷ 9
=> 7 × ( x - 14 ) + 39 = 25 + 31
=> 7 × ( x - 14 ) + 39 = 56
=> 7 × (x - 14) = 56 - 39
=> 7 × (x - 14) = 17
=> x - 14 = 17 : 7
=> x - 14 = 17/7
=> x = 17/7 + 14
=> x = 115/7
\((5^4+4^7)\times(8^9-2^7)\times(2^4-4^2)\)
\(=(5^4+4^7)\times(8^9-2^7)\times0\)
\(=0\)
a) 26 x 4 + 169 : 132
= 26 x 4 + 169 : 169
= 26 x 4 + 1
= 104 + 1
= 105
b) 32 x 7 - (22 x 3 + 13) : 52
= 9 x 7 - (4 x 3 + 13) : 10
= 63 - 25 : 10
= 63 - 2,5
= 60,5
c) 25 x 37 + 63 x 25 - 1500
= 25 x (37 + 63) - 1500
= 25 x 100 - 1500
= 2500 - 1500
= 1000