x+x*2+x*3=48
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=>(x+3)^2-48(x-3)=x-3
=>x^2+6x+9-48x+144-x+3=0
=>x^2-43x+156=0
=>x=39 hoặc x=4
1) \(x^2+x-6=x\left(x-2\right)+3\left(x-2\right)=\left(x+3\right)\left(x-2\right)\)
2) \(x^2-x-6=\left(x-3\right)\left(x+2\right)\)
3) \(x^2+2x-48=\left(x-6\right)\left(x+8\right)\)
4) \(x^2-2x-48=\left(x-8\right)\left(x+6\right)\)
5) \(x^2+x-42=\left(x-6\right)\left(x+7\right)\)
6) \(x^2-x-42=\left(x-7\right)\left(x+6\right).\)
Tính nhanh:
a, 18,25 - 3,78 + 1,58
= 18,25 - ( 3,78 + 1,58 )
= 18,25 - 5,36
= 12,89
b, 183 x ( 48 + 54 ) - 83 x ( 54 + 48 )
= 183 x 102 - 83 x 102
= 102 x ( 183 - 83 )
= 102 x 100
= 10200
c, 2,4 x 178 x 2 - 3 x 78 x 1,6
= ( 2,4 x 178 x 2 ) - ( 3 x 78 x 1,6 )
= ( 427,2 x 2 ) - ( 3 x 124,8 )
= 854,4 - 374,4
= 480
d, 3,9 x 138 - 7,8 x 19
= ( 3,9 x 138 ) - ( 7,8 x 19 )
= 538,2 - 148,2
= 390.
1) 15:(x+2) = 3
x + 2 = 15 : 3
x + 2 = 5
x = 5 - 2
x = 3
2) 20:(1+x) = 2
1 + x = 20 : 2
1 + x = 10
x = 10 - 1
x = 9
3) 5(x+35) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 68
4) 541+(218-x) = 73
218 - x = 73 - 541
218 - x = -468
x = 218 - ( - 468 )
x = 686
5) 1230:3 (x-20) = 10
410 . ( x - 20 ) = 10
x - 20 = 10 : 410
x - 20 = 1/41
x = 1/41 + 20
x = 821/41
6) 48-3(x+5) = 24
3( x + 5 ) = 48 - 24
3( x + 5 ) = 24
x + 5 = 24 : 3
x + 5 = 8
x = 8 - 5
x = 3
7) 4x + 18 : 2=13
4x + 9 = 13
4x = 13 - 9
4x = 4
x = 1
8) X-48:16 = 37
x - 3 = 37
x = 37 + 3
x = 40
a, 15: (x+2) = 3
x+2 =15:3
x+2 = 5
x = 5-2
x = 3
b, 20: (1+x) = 2
1+x = 20:2
1+x = 10
x = 10-1
x = 9
c, 5(x+35) = 515
x+35 = 515 :5
x+35 = 103
x = 103-35
x = 68
d, 541+ (218-x) = 73
218-x = 73-541
218-x = - 468
x = 218 - (-468)
x = 218 + 468
x = 686
e, 1230:3. (x-20) = 10
410(x-20) = 10
x-20 = 10: 410
x-20 = 1/41
x = 1/41 + 20
x = 821/41
f, 48-3(x+5) = 24
3(x+5) = 48-24
3(x+5) = 24
x+5 = 24:3
x +5 = 8
x = 8-5
x =3
g, 4x + 18 : 2 = 13
4x + 9 = 13
4x = 13-9
4x = 4
x = 4:4
x = 1
j, x - 48:16 = 37
x- 3 = 37
x = 37+3
x = 40
1) 1996 + 3992 + 5988 + 7984
= 1996 x 1 + 1996 x 2 + 1996 x 3 + 1996 x 4
= 1996 x ( 1 + 2 + 3 + 4)
= 1996 x 10 = 19960
2) 2 x 3 x 4 x 8 x 50 x 25 x 125
= 3 x (2 x 50) x (4 x 25) x (8 x 125)
= 3 x 100 x 100 x 1000
= 30.000.000
3(45 x 46 + 47 x 48) x (51 x 52 - 49 x 48) x (45 x 128 - 90 x 64)
x (1995 x 1996 + 1997 x 1998)
Ta thÊy : 45 x 128 - 90 x 64
= 45 x 2 x 64 - 90 x 64
= 90 x 64 - 90 x 64
= 0
1) 1996 + 3992 + 5988 + 7984
= 1996 x 1 + 1996 x 2 + 1996 x 3 + 1996 x 4
= 1996 x ( 1 + 2 + 3 + 4)
= 1996 x 10 = 19960
2) 2 x 3 x 4 x 8 x 50 x 25 x 125
= 3 x (2 x 50) x (4 x 25) x (8 x 125)
= 3 x 100 x 100 x 1000
= 30.000.000
3(45 x 46 + 47 x 48) x (51 x 52 - 49 x 48) x (45 x 128 - 90 x 64)
x (1995 x 1996 + 1997 x 1998)
Ta thÊy : 45 x 128 - 90 x 64
= 45 x 2 x 64 - 90 x 64
= 90 x 64 - 90 x 64
= 0
L I K E NHÁ BẠN^^
\(3\left(x-3\right)\left(x+7\right)+\left(x-4\right)^2+48\)
\(=\left(3x-9\right)\left(x+7\right)+\left(x-4\right)^2+48\)
\(=3x^2+21x-9x-63+x^2-8x+16+48\)
\(=4x^2+4x+1\)
\(=\left(2x\right)^2+2.2x.1+1^2\)
\(=\left(2x+1\right)^2\)
\(=\left[2.\left(-\dfrac{1}{2}\right)+1\right]^2\)
= 0
X + X x 2 + X x 3 = 48
X x 1 + X x 2 + X x 3 = 48
X x ( 1 + 2 + 3) = 48
X x 6 = 48
X = 48 : 6
X = 8