bài 1: tính nhanh
a. 30 x 1235 x 4 - 8 x 235 x 15
b. ( 120 x 99 + 120 ) - 185 x 101 - 185
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
185 x 99 + 15 x 49 + 185 x 1 + 15 x 51 =
185 x ( 99 + 1 ) + 15 x (51 + 49) =
185 x 100 + 15 x 100 =
100 x (185 + 15) =
100 x 200 = 20 000
\(a,76-6\left(x-1\right)=10\)
\(76-6x-6=10\)
\(70-6x=10\)
\(6x=60\)
\(x=10\)
\(b,3.4^x-7=185\)
\(3.4^x=192\)
\(4^x=64\)
\(4^x=4^3\)
\(\Rightarrow x=3\)
Bài 1:Tìm x,biết:
a) 76 - 6( x - 1 ) = 10
=> 6( x - 1 ) = 76 - 10
=> 6( x - 1 ) = 66
=> x - 1 = 11
=> x = 12
b)3.4^x-7=185
=> 3.4^x = 185 + 7
=> 3.4^x = 192
=> 4^x = 64
=> 4^x = 4^3
=> x = 3
a) A = 2 + 4 + 6 + 8 + ... + 1000
Ta có : A = 2 + 4 + 6 + 8 + ... + 1000 ( có 500 số )
= (1000 + 2) . 500 : 2 = 250500
c) \(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{97.99}+\frac{2}{99.101}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}+\frac{1}{99}-\frac{1}{101}\)
\(=1-\frac{1}{101}=\frac{100}{101}\)
=2x2/1x3 x 3x3/2x4x4/3x5 x ... x 11x11/10x12
=2x2x3x3x4x4x...x11x11/1x3x2x4x3x5x...x10x12
= 2x3x4x...x11)x(2x3x4x...x11)/(1x2x3x4x...x11)/(1x2x3x...x10)x(2x3x4x...x11)
=11x2/1x12
=22/12
=11/6
4/3x9/8x16/15x...x121/120=\(\dfrac{2^2}{1\cdot3}\)x\(\dfrac{3^2}{2\cdot4}\)x\(\dfrac{4^2}{3\cdot5}\)x...x\(\dfrac{11^2}{10\cdot12}\)=\(\dfrac{2}{3}\)x\(\dfrac{11}{10}\)=\(\dfrac{11}{15}\)
\(a,8\times427\times3+6\times573\times4\)
\(=24\times427+24\times573\)
\(=24\times\left(427+573\right)\)
\(=24\times1000\)
\(=24000\)
\(b,6\times1235\times20-5\times235\times24\)
\(=120\times1235-120\times235\)
\(=120\times\left(1235-235\right)\)
\(=1235\times1000\)
\(=1235000\)
a) \(30\times1235\times4-8\times235\times15\)
\(=120\times1235-120\times235\)
\(=120\times\left(1235-235\right)\)
\(=120\times1000\)
\(=120000\)
b) \(\left(120\times99+120\right)-185\times101+185\)
\(=120\times\left(99+1\right)-185\cdot\left(101-1\right)\)
\(=120\times100-185\times100\)
\(=12000-18500\)
\(=-6500\)
a) 30 x 1235 x 4 - 8 x 235 x 15
=(30x4) x 1235 - (8x15)x235
= 120 x 1235 - 120 x 235
=120 x (1235-235)
=120 x 1000
=120000
b) ( 120 x 99 +120) - 185 x 101-185
=(120 x 99 + 120) - (185x101+185)
=120x(99+1) - 185x(101+1)
=120 x 100-185x102
=12000-18870
= -(18870-12000)
= -6870