Làm phương trình sau :
a) x+1/1 + 2x+3/3 + 3x+5/5 + ... + 20x+39/39 = 22 + 4/3 + 6/5 + ... + 40/39
b) ( x - 20 ) + ( x - 19 ) + ( x - 18 ) + ... + ( x - 100 ) + 101 = 101
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BT :Giải phương trình
a,(x+1)/1 + (2x+3)/3 + (3x+5)/5 +.........+(20x+39)/39 = 22+ 4/5 +5/6 +....40/39
b,(x-20)+(x-19)+(x-18)+......+100+101=101
giải phương trình
a,\(\left(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{9\cdot10}\right)\left(x-1\right)+\frac{1}{10}x=x-\frac{9}{10}\)
b,\(\frac{x+1}{1}+\frac{2x+3}{3}+\frac{3x+5}{5}+\frac{20x+39}{39}=22+\frac{4}{3}+\frac{6}{5}+\frac{40}{39}\)
c,(x-20)+(x-19)+(x-18)+...+100+101=101
a: \(\Leftrightarrow\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+....+\dfrac{1}{9}-\dfrac{1}{10}\right)\cdot\left(x-1\right)+\dfrac{1}{10}x-x=-\dfrac{9}{10}\)
\(\Leftrightarrow\dfrac{9}{10}x-\dfrac{9}{10}-\dfrac{9}{10}x=-\dfrac{9}{10}\)
=>-9/10=-9/10(luôn đúng)
b: \(\Leftrightarrow\dfrac{195x+195+130x+195+117x+195+100x+195}{195}=\dfrac{22\cdot39+4\cdot65+6\cdot39+40\cdot5}{195}\)
=>347x+780=1552
=>347x=772
hay x=772/347
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giải các phương trình sau
a) x+1/1 + 2x+3/3 + 3x+5/5+...+20x+39/39 = 22 + 4/3 +6/5 +....+ 40/39
b) x^4+x^3-4x^2+5x-3=0
c) x(x-1)(x-4)(x-5)=84
d) 148-x/25 +169-x/23 + 186-x/21 + 199-x/19 = 10
giải phương trìnha,(frac{1}{1cdot2}+frac{1}{2cdot3}+frac{1}{3cdot4}+frac{1}{9cdot10})(x-1)+frac{1}{10}xx-frac{9}{10}b,frac{x+1}{1}+frac{2x+3}{3}+frac{3x+5}{5}+frac{20x+39}{39}22+frac{4}{3}+frac{6}{5}+frac{40}{39}c,(x-10)+(x-19)+(x-18)+...+100+101101d,(frac{1}{1cdot51}+frac{1}{2cdot52}+frac{1}{3cdot53}+...+frac{1}{10cdot60})xfrac{1}{1cdot11}+frac{1}{1cdot12}+frac{1}{1cdot13}
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giải phương trình
a,(\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{9\cdot10}\))(x-1)+\(\frac{1}{10}x\)=\(x-\frac{9}{10}\)
b,\(\frac{x+1}{1}+\frac{2x+3}{3}+\frac{3x+5}{5}+\frac{20x+39}{39}=22+\frac{4}{3}+\frac{6}{5}+\frac{40}{39}\)
c,(x-10)+(x-19)+(x-18)+...+100+101=101
d,(\(\frac{1}{1\cdot51}+\frac{1}{2\cdot52}+\frac{1}{3\cdot53}+...+\frac{1}{10\cdot60}\))x=\(\frac{1}{1\cdot11}+\frac{1}{1\cdot12}+\frac{1}{1\cdot13}\)
tim x
a,\(\left(x-20\right)+\left(x-19\right)+\left(x-18\right)+....+200+201=201\)
b, \(\frac{x+1}{1}+\frac{2x+3}{3}+\frac{3x+5}{5}+....+\frac{20x+39}{39}=22+\frac{4}{3}+\frac{6}{5}+...+\frac{40}{39}\)
giải các phương trình sau :
\(\frac{x+1}{1}+\frac{2x+3}{3}+\frac{3x+5}{5}+...+\frac{20x+39}{39}=22+\frac{4}{3}+\frac{6}{5}+...+\frac{40}{39}\)
<=>\(\left(\frac{x}{1}+\frac{2x}{3}+\frac{3x}{5}+...+\frac{20x}{39}\right)+\left(\frac{1}{1}+\frac{3}{3}+\frac{5}{5}+...+\frac{39}{39}\right)=20+2.\left(\frac{1}{1}+\frac{2}{3}+\frac{3}{5}+...+\frac{20}{39}\right)\)<=>
\(\left(\frac{1}{1}+\frac{2}{3}+\frac{3}{5}+...+\frac{20}{39}\right).x+20=20+2.\left(\frac{1}{1}+\frac{2}{3}+\frac{3}{5}+...+\frac{20}{39}\right)\)
<=> \(\left(\frac{1}{1}+\frac{2}{3}+\frac{3}{5}+...+\frac{20}{39}\right).x=2.\left(\frac{1}{1}+\frac{2}{3}+\frac{3}{5}+...+\frac{20}{39}\right)\)<=> x = 2
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(x+1) / 1 + (2x+3) / 3 + (3x+5) / 5+ ... + (20x + 39) / 39
= 22 + 4 /3 + 6 / 5 +... + 40 /39
<=> x+ 1+ 2x / 3 +1 + 3x / 5+1+...+20x / 39+1 = 22+4 / 3+6 / 5+8 / 7+...+38 / 37+40 / 39
<=> (1+2 / 3+3 / 5+4 / 7+...+19 / 37+20 / 39)x + 20 = 22+4/3+6/5+8/7+...+38/37+40/39
<=> (1+2/3+3/5+4/7+...+19/37+20/39)x = 2(1 + 2/3 + 3/5 + 4/7 +...+ 19/37 + 20/39)
<=> x = 2
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Tim x biet: x+1/1+2x+3/3+3x+5/5+...............+20x+39/9=22+4/3+6/5+................+40/39
x+1/1+2x+3/3+3x+5/5+20x+39/39=22+4/3+6/5+...+40/49
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Giai pt
x+1+2x+3/3+3x+5/5+.....+20x+39/39=22+4/3+6/5+.....+40/39