106 x 123 : 2 x 6 = ............................?
^------^
Tính nhẩm:
6 x 2
6 x 6
6 x 1
6 x 7
6 x 8
6 x 5
6 x 9
6 x 10
6 x 3
3 x 6
6 x 4
4 x 6
Tính nhanh :
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
123 x 45 + 123 x 50 + 123 x 5
Tính nhanh:
1+2+3+4+5+6+7+8+9+10
=(1+9)+(2+8)+(3+7)+(4+6)+10+5
= 10 + 10 + 10 + 10 + 10+5
= 50 + 5
= 55
123*45+123*50+123*5
= 123*(45+50+5)
= 123 * 100
= 12300
K mk nha bn
1+2+3+4+5+6+7+8+9+10
= ( 1+10 ) + ( 2+9) + (3+8) + (4+7) + (5+6)
= 11 + 11 + 11 + 11 + 11
=11 x 5
=55
123 x 45 + 123 x 50 + 123 x 5
= 123 x ( 45 + 50 +5 )
= 123 x 100
=12300
hok tốt .
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 10 : 2 x 11 = 55
123 x 45 + 123 x 50 + 123 x 5 = 123x ( 45 + 50 + 5) = 123 x 100 = 12300
x +110/100 + x+8/102 + x+6/104 =x+4/106 x+2/108
\(\frac{x+110}{100}+\frac{x+8}{102}+\frac{x+6}{104}=\frac{x+4}{106}+\frac{x+2}{108}\)
\(\Leftrightarrow\frac{x+110}{100}+\left(\frac{x+8}{102}+1\right)+\left(\frac{x+6}{104}+1\right)=\left(\frac{x+4}{106}+1\right)+\left(\frac{x+2}{108}+1\right)\)
\(\Leftrightarrow\frac{x+110}{100}+\frac{x+110}{102}+\frac{x+110}{104}=\frac{x+110}{106}+\frac{x+110}{108}\)
\(\Leftrightarrow\frac{x+110}{100}+\frac{x+110}{102}+\frac{x+110}{104}-\frac{x+110}{106}-\frac{x+110}{108}=0\)
\(\Leftrightarrow\left(x+110\right)\left(\frac{1}{100}+\frac{1}{102}+\frac{1}{104}+\frac{1}{106}+\frac{1}{108}\right)=0\)
\(\Leftrightarrow x+110=0\) (vì \(\frac{1}{100}+\frac{1}{102}+\frac{1}{104}-\frac{1}{106}-\frac{1}{108}>0\))
\(\Leftrightarrow x=-110\)
Vậy \(x=-110\)
x +110/100 + x+8/102 + x+6/104 =x+4/106 x+2/108
4. x^2 − 5x + 6
5. x^2+7x+10
6. x + 7√x + 10
7. 3x^4 + 7x^2 + 4
8. x^2-x-2
9. x^6 − x^3 − 2
`4)x^2-5x+6`
`=x^2-2x-3x+6`
`=x(x-2)-3(x-2)=(x-2)(x-3)`
`5)x^2+7x+10`
`=x^2+5x+2x+10`
`=x(x+5)+2(x+5)=(x+5)(x+2)`
`6)x+7\sqrt{x}+10` `ĐK: x >= 0`
`=(\sqrt{x})^2+5\sqrt{x}+2\sqrt{x}+10`
`=\sqrt{x}(\sqrt{x}+5)+2(\sqrt{x}+5)=(\sqrt{x}+5)(\sqrt{x}+2)`
`7)3x^4+7x^2+4`
`=3x^4+3x^2+4x^2+4`
`=3x^2(x^2+1)+4(x^2+1)=(x^2+1)(3x^2+4)`
`8)x^2-x-2`
`=x^2-2x+x-2`
`=x(x-2)+(x-2)=(x-2)(x+1)`
`9)x^6-x^3-2`
`=x^6+x^3-2x^3-2`
`=x^3(x^3+1)-2(x^3+1)`
`=(x^3+1)(x^3-2)`.
Phân tích đa thức thành nhân tử:
Tính nhanh
123 x 4 + 123 x 6 + 123 x 9 + 123
123 x 4 + 123 x 6 + 123 x 9 + 123
= 123 x 4 + 123 x 6 + 123 x 9 + 123 x 1
= 123 x (4 + 6 + 9 + 1)
= 123 x 20
= 2460
Đáp số : 2460
123 x 4 + 123 x 6 + 123 x 9 +123
= 123 x 4 + 123 x 6 + 123 x 9 +123 x 1
= 123 x (4 + 6 + 9 + 1)
= 123 x 20
= 2460
123x4 +123x6 +123x9 +123
=123 x4 +123x6+ 123x9 +123 x1
=123x (4+6+9+1)
=123x 20
=2460
tìm x biết :
a) 2^x+1 + 2^x+2 + 2^x+3 +...+ 2^x+99 = 2^106 -2^7
b) 3(x+6) = 2(x-5)
c) | 3x-7 | = 6
3(x + 6) = 2(x - 5)
=> 3x + 18 = 2x - 10
=> 3x - 2x = -10 - 18
=> x = -28
vay_
c, |3x - 7| = 6
=> 3x - 7 = 6 hoac 3x - 7 = -6
=> 3x = 13 hoac 3x = 1
=> x = 13/3 hoac x = 1/3
vay_
3(x + 6) = 2(x - 5)
=> 3x + 18 = 2x - 10
=> 3x - 2x = -10 - 18
=> x = -28
Vậy x = -28
c, |3x - 7| = 6
=> 3x - 7 = 6 hoac 3x - 7 = - 6
=> 3x = 13 hoac 3x = 1
=> x = \(\frac{13}{3}\) hoac x = \(\frac{1}{3}\)
Vậy \(x\in\left\{\frac{3}{13};\frac{1}{3}\right\}\)
Tính bằng cách thuận tiện nhất: 123 x 6 + 123 + 3 x 123
\(=123\times\left(6+3+1\right)\)
\(=123\times10\)
\(=1230\)
\(123\times6+123+3\times123\\ =123\times\left(6+1+3\right)\\ =123\times10\\ =1230\)