720 : [41 - (2x - 5)] = 120
dạng toán tìm x , ai làm đúng mik sẽ tik cho
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c)
Có Q = P.(x+1) = \(\frac{-3.\left(x+1\right)}{\sqrt{x}-2}\)
\(\Leftrightarrow-Q=\frac{3x+3}{\sqrt{x}-2}=\frac{3x-6\sqrt{x}+6\sqrt{x}+3}{\sqrt{x}-2}=\frac{3\sqrt{x}\left(\sqrt{x}-2\right)+6\left(\sqrt{x}-2\right)+15}{\sqrt{x}-2}\)
\(\Leftrightarrow-Q=3\sqrt{x}+6+\frac{15}{\sqrt{x}-2}\)
\(\Leftrightarrow-Q=3\left(\sqrt{x}-2\right)+\frac{15}{\sqrt{x}-2}+12\)
\(\Leftrightarrow-Q\ge2\sqrt{3\left(\sqrt{x}-2\right).\frac{15}{\sqrt{x}-2}}+12=2\sqrt{45}+12\)
\(\Leftrightarrow-Q\ge6\sqrt{5}+12\)
\(\Leftrightarrow Q\le-6\sqrt{5}-12\)
Dấu " = " Xảy ra khi :
\(3.\left(\sqrt{x}-2\right)=\frac{15}{\sqrt{x}-2}\Leftrightarrow\left(\sqrt{x}-2\right)^2=5\)
\(\Leftrightarrow\orbr{\begin{cases}\sqrt{x}-2=\sqrt{5}\\\sqrt{x}-2=-\sqrt{5}\end{cases}\Leftrightarrow\orbr{\begin{cases}\sqrt{x}=2+\sqrt{5}\Leftrightarrow x=9+4\sqrt{5}\\\sqrt{x}=2-\sqrt{5}\left(Sai\right)\end{cases}}}\)
Vậy Max Q = \(-6\sqrt{5}-12\)khi x = \(9+4\sqrt{5}\)
a ) 9^7 . 9^8 = 97+8 =915
b ) 8^6 : 8^4 = 86-4 = 82
c ) 5^3 . 8^3 = ( 5.8 )3 = 40^3
d ) 24^5 : 6^5 = ( 24:6 )5 = 4^5
98 + 3 × ( x + 7 ) = 110
3 × ( x + 7 ) = 110 - 98
3 × ( x + 7 ) = 12
x + 7 = 12 ÷ 3
x + 7 = 4
x = 4 - 7
x = - 3
Vậy, x = - 3
Cbht
a) (x - 32) = 68
x = 68 + 32
x = 100
b)9 .x+18=274-4
9.x+18=270
9x=270-18
9x=252
x=252:9
x=28
c) 418 - x = 860 - 442
418 - x = 418
x = 0
d) b xem lại câu hỏi nhé
T.I.C.K GIÚP MK NHÉ!
\(2x+x=\frac{11}{12}\)
\(\Rightarrow x.\left(2+1\right)=\frac{11}{12}\)
\(\Rightarrow x.3=\frac{11}{12}\)
\(\Rightarrow x=\frac{11}{12}:3\)
\(\Rightarrow x=\frac{11}{36}\)
Vậy \(x=\frac{11}{36}\)
Chúc bạn học tốt
\(2x+x=\frac{11}{12}\)
\(\Leftrightarrow x.\left(2+1\right)=\frac{11}{12}\)
\(\Leftrightarrow x.3=\frac{11}{12}\)
\(\Leftrightarrow x=\frac{11}{12}:3\)
\(\Leftrightarrow x=\frac{11}{12}.\frac{1}{3}\)
\(\Leftrightarrow x=\frac{11}{36}\)
Vậy : \(x=\frac{11}{36}\)
Rất vui vì giúp đc bn !!!
\(A=5\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{6480}\right)\)
\(=5\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{80.81}\right)\)
\(=5\left(\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+...+\frac{81-80}{80.81}\right)\)
\(=5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{80}-\frac{1}{81}\right)\)
\(=5\left(1-\frac{1}{81}\right)=\frac{5.80}{81}=\frac{400}{81}\)
b)
\(B=7\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+...+\frac{1}{483}\right)\)
\(=7.\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{21.23}\right)\)
=> \(2.B=7\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{21.23}\right)\)
\(=7\left(\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+...+\frac{23-21}{21.23}\right)\)
\(=7.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{21}-\frac{1}{23}\right)\)
\(=7\left(\frac{1}{3}-\frac{1}{23}\right)=\frac{7.20}{69}=\frac{140}{69}\)
=> \(B=\frac{140}{69}:2=\frac{70}{69}\)
a) \(\frac{4}{11}-\frac{7}{15}+\frac{7}{11}-\frac{5}{15}\)
\(=\left(\frac{4}{11}+\frac{7}{11}\right)-\left(\frac{7}{15}+\frac{5}{15}\right)\)
\(=1-\frac{4}{5}\)
\(=\frac{1}{5}\)
b) \(\frac{7}{3}-\frac{4}{9}-\frac{1}{3}-\frac{5}{9}\)
\(=\left(\frac{7}{3}-\frac{1}{3}\right)-\left(\frac{4}{9}+\frac{5}{9}\right)\)
\(=2-1\)
\(=1\)
c) \(\frac{1}{4}+\frac{7}{33}-\frac{5}{3}\)
\(=\frac{-1}{4}+\frac{-16}{11}\)
\(=\frac{-75}{44}\)
d) \(\frac{-3}{4}\times\frac{8}{11}-\frac{3}{11}\times\frac{1}{2}\)
\(=\frac{-6}{11}-\frac{3}{22}\)
\(=\frac{15}{22}\)
e) \(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(=\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+\frac{1}{9\times11}+\frac{1}{11\times13}+\frac{1}{13\times15}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)
\(=\frac{1}{3}-\frac{1}{15}\)
\(=\frac{4}{15}\)
Trả lời
720:[41-(2x-5)]=120
41-(2x-5)=720:120
41-(2x-5)=6
2x-5 =41-6
2x-5 =35
2x =35+5
2x =40
=>x =40:2
=>x =20
Học tốt !
thank lovely(K^-^M) nha
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