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4x2 = 1102
<=> 22x2 = 1102
<=> (2x)2 = 1102
=> 2x = 110
=> x = 55
\(4.x^2=110^2\)
\(\Leftrightarrow2^2.x^2=110^2\)
\(\Rightarrow2.x=110\)
\(\Rightarrow x=110:2\)
\(\Rightarrow x=55\)
Vậy \(x=55\)
\(\frac{2}{1^2}.\frac{6}{2^2}.\frac{12}{3^2}.\frac{20}{4^2}...\frac{110}{10^2}.x=-20\)
\(\Leftrightarrow\frac{1.2}{1^2}.\frac{2.3}{2^2}.\frac{3.4}{3^2}.\frac{4.5}{4^2}...\frac{10.11}{10^2}.x=-20\)
\(\Leftrightarrow\frac{2}{1}.\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{11}{10}.x=-20\)
\(\Leftrightarrow11.x=-20\)
\(\Leftrightarrow x=\frac{-20}{11}\)
câu a) <=> 2x+10+28=20-3x-12
<=>5x=--30
<=>x=-6(TM)
câu b) chị ko bit em học hằng đt chưa nên để người khác giải nha ^^
Câu 1 : Tìm số tự nhiên a , biết :
( a + 1 ) + ( a + 2 ) + ( a + 3 ) +...+ ( a + 49 ) + ( a + 50 ) = 2525
(a+a+...+a) +(1+2+3+...+50)=2525
50 SH a
50 . a+(50+1).25=2525
50.a + 1275=2525
50.a=2525-1275
50.a=1250
a=1250:50
=>a=25
TICK ĐI RỒI MIK LÀM TIẾP CHO
So so hang la (50-1):1+1=50(so hang)
(a+a+a+...+a)+(1+2+3+...+50)=2525
(a*50)+(50+1)*50:2=2525
a*50+1275=2525
a*50=2525-1275
a*50=1250
a=1250:50
a=25
15(x + 1) + 75 = 110
=> 15x + 15 + 75 = 110
=> 15x + 90 = 110
=> 15x = 20
=> x = 1,5
vậy_
a)
15 ( x + 1 ) + 75 = 110
15 ( x + 1 ) = 35
x + 1 = 7/3
x = 4/3
b)
\(2^x\cdot5+2=47\)
\(2^x\cdot5=45\)
\(2^x=9\)
\(x=3,169925001\)
?? WTF đề ??
\(\dfrac{2}{1^2}.\dfrac{6}{2^2}.\dfrac{12}{3^2}.\dfrac{20}{4^2}.....\dfrac{110}{10^2}.x=-20\)
\(\dfrac{1.2}{1^2}.\dfrac{2.3}{2^2}.\dfrac{3.4}{3^2}.\dfrac{4.5}{4^2}.....\dfrac{10.11}{10^2}.x=-20\)
\(\dfrac{1.2.2.3.3.4.4.5.5.....10.10.11}{1.1.2.2.3.3.4.4.5.5.....10.10}.x=-20\)
\(11.x=-20\)
\(x=-20:11=-\dfrac{20}{11}\)
\(\dfrac{2}{1^2}\cdot\dfrac{6}{2^2}\cdot\dfrac{12}{3^2}\cdot\dfrac{20}{4^2}\cdot...\cdot\dfrac{110}{10^2}\cdot x=-20\)
\(\Leftrightarrow\dfrac{1\cdot2}{1\cdot1}\cdot\dfrac{2\cdot3}{2\cdot2}\cdot\dfrac{3\cdot4}{3\cdot3}\cdot\dfrac{4\cdot5}{4\cdot4}\cdot...\cdot\dfrac{10\cdot11}{10\cdot10}\cdot x=-20\)
\(\Leftrightarrow\dfrac{1\cdot2\cdot2\cdot3\cdot3\cdot4\cdot4\cdot5\cdot...\cdot10\cdot11}{1\cdot1\cdot2\cdot2\cdot3\cdot3\cdot4\cdot4\cdot...\cdot10\cdot10}\cdot x=-20\)
\(\Rightarrow11\cdot x=-20\)
\(\Rightarrow x=\dfrac{-20}{11}\)
Vậy \(x=\dfrac{-20}{11}\).