(x+2)+(x+4)+(x+6)+...+(x+100)=5100////giúp mình tìm x
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Ta có :
x . 2 + x . 4 + x. 6 + ... + x . 100 = 5100
x . (2 + 4 +... + 100) = 5100
x . \(\frac{\left(2+100\right).50}{2}\)= 5100
x . 2550 = 5100
=> x = 5100 : 2550 = 2
(x+2)+(x+4)+(x+6)+...+(x+100)=5100
=> \(\frac{\left(x+x+x+...+x\right)}{50csx}\) +(2+4+6+...+100)=5100=>50x+2550=5100=>50x=2550=>x=51
(x + 2) + (x + 4) + (x + 6) + ... + (x + 100) = 5100
(x + 2.1) + (x + 2.2) + (x + 2.3) + ... + (x + 2.50) = 5100
(x + x + x + ... + x) + (2.1 + 2.2 + 2.3 + ... + 2.50) = 5100
50 số x
50.x + 2.(1 + 2 + 3 + ... + 50) = 5100
50.x + 2.(1 + 50).50:2 = 5100
50.x + 51.50 = 5100
50.(x + 51) = 5100
x + 51 = 5100 : 50
x + 51 = 102
x = 102 : 2
x = 51
Dấu . tức là nhân nha
Vậy x = 51
C=(1x3+3x5+...+99x101)+(2x4+4x6+...+98x100)
đặt S=1x3+3x5+...+99x101
=>6S=6x(1x3+3x5+...+99x101)
=1x3x(5+1)+3x5x(7-1)+...+97x99x(101-95)+99x101x(103-97)
=1x3x5+1x3x1+3x5x7-1x3x5+....+97x99x101-95x97x99+99x101x103-97x99x101
=1x3x1+99x101x103
=>S=(3+99x101x103):6=171650
=>C=171650+(2x4+4x6+...+98x100)
đặt A=2x4+4x6+...+98x100
=>6A=6x(2x4+4x6+...+98x100)
=>6A=2x4x6+4x6x(8-2)+...+96x98x(100-94)+98x100x(102-96)
=2x4x6+4x6x8-2x4x6+...+96x98x100-94x96x98+98x100x102-96x98x100
=98x100x102
=>A=98x100x102:6=166600
=>C=166600+171650
=>C=338250
B=2x2+4x4+6x6+...+100x100
=2x(4-2)+4x(6-2)+6x(8-2)+...+100x(102-2)
=2x4-4+4x6-8+6x8-12+...+100x102-200
=(2x4+4x6+6x8+...+100x102)-(4+8+12+...+200)
đặt A=2x4+4x6+...+98x100+100x102
=>6A=6x(2x4+4x6+...+98x100+100x102)
=>6A=2x4x6+4x6x(8-2)+...+96x98x(100-94)+98x100x(102-96)+100x102x(104-98)
=2x4x6+4x6x8-2x4x6+...+96x98x100-94x96x98+98x100x102-96x98x100+100x102x104-98x100x102
=100x102x104
=>A=100x102x104:6=176800
=>B=176800-(4+8+12+...+200)
đặt S=4+8+12+..+200
Số số hạng của S là:
(200-4):4+1=50 số
S=(200+4)x50:2=5100
=>B=176800-5100
=>B=171700
a/ => 7(x + 1) = 119
=> x + 1 = 17
=> x = 16
b/ => 3x - 6 = 33 = 27
=> 3x = 33
=> x = 11
Bài 2:
Ta có: (x-3)(x+4)>0
=>x>3 hoặc x<-4
Bài 3:
a: \(5S=5-5^2+...+5^{99}-5^{100}\)
\(\Leftrightarrow6S=1-5^{100}\)
hay \(S=\dfrac{1-5^{100}}{6}\)
y+(265.5)=150265352
y+1325=150265352
y=150265352-1325
y=150264027
y.4.2+4=804
y.8+4=804
y.8=804-4
y.8=800
y=100
y-25.2:6=100
y-25.2=100.6
y-25.2=600
y-50=600
y=600+50
y=650
(x + 2) + (x + 4) + (x + 6) +...+ (x + 100) = 5100
x + 2 + x + 4 + x + 6 +... + x + 100 = 5100
50x + (2 + 4 + 6 +... + 100) = 5100
50x + 2550 = 5100
50x = 5100 - 2550 = 2550
x = 2550 : 50 = 51
Vây x = 51