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a) \(\left(x+1\right)\left(x+2\right)=272\)
\(\Rightarrow x^2+3x+2=272\)
\(\Rightarrow x^2+3x-270=0\)
\(\Rightarrow x^2+18x-15x-270=0\)
\(\Rightarrow x\left(x+18\right)-15\left(x+18\right)=0\)
\(\Rightarrow\left(x+18\right)\left(x-15\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+18=0\\x-15=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-18\\x=15\end{matrix}\right.\)
d) \(\left(x+4\right)\left(x+5\right)=552\)
\(\Rightarrow x^2+9x+20=552\)
\(\Rightarrow x^2+9x-532=0\)
\(\Rightarrow x^2+28x-19x-532=0\)
\(\Rightarrow x\left(x+28\right)-19\left(x+28\right)=0\)
\(\Rightarrow\left(x+28\right)\left(x-19\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+28=0\\x-19=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-28\\x=19\end{matrix}\right.\)
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a,504:[16-3.x]=72
16-3.x=504:72
16-3.x=7
3.x =16-7
3.x =9
\(\Rightarrow x=3\)
b,272-[4.x+15] = 45
4.x+15 = 272-45
4.x+15 = 227
4.x = 227-15
4.x = 212
x = 212:4
\(\Rightarrow x=53\)
c,425-x:8 =91
x:8 =425-91
x:8 =334
x =334x8
\(\Rightarrow x=2672\)
d, 293-8.27+x.25=80
293-216 +x.25=80
77+x.25 =80
x.25 =3
\(\Rightarrow x=\frac{3}{25}\)
x = 3
x = 53
x = 2672
x = 3 / 25
ai thấy đúng thì ủng hộ mk nha
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\(\dfrac{2^2}{1.3}.\dfrac{3^2}{2.4}.\dfrac{4^2}{3.5}.....\dfrac{99^2}{98.100}\)
\(=\dfrac{2.2.3.3.4.4.....99.99}{1.3.2.4.3.5.....98.100}\)
\(=\dfrac{2.3.4.....99}{1.2.3.4.....98}.\dfrac{2.3.4.....99}{3.4.5.....100}\)
\(=\dfrac{99}{98}\cdot\dfrac{2}{100}\)
\(=\dfrac{99}{4900}\)
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Ta có :\(B=\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}.\frac{4^2}{4.5}.....\frac{98^2}{98.99}=\frac{\left(1.2.3.4...98\right).\left(1.2.3.4...98\right)}{\left(1.2.3.4...98\right).\left(2.3.4.5...99\right)}=\frac{1}{99}\)
Lại có A = \(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{97.99}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{97}-\frac{1}{99}=1-\frac{1}{99}=\frac{98}{99}\)
Lại có \(A:B=\frac{98}{99}:\frac{1}{99}=98\)
=> A = 98B
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2x + 2x + 4 = 272
=> 2x + 2x . 24 = 272
=> 2x .( 1 + 24 ) = 272
=> 2x . 17 = 272
=> 2x = 272 : 17 = 16
=> 2x = 24
=> x = 4
Vậy x = 4
tách số thứ 2 thành 2 ^ x . 2^ 4 có chung nhe làm bình thường nha
Bài làm
3x + 1.3x = 27
3x + 3x = 27
2.3x = 27
3x = 27 : 2
3x = \(\frac{27}{2}\)
x = \(\frac{27}{2}:3\)
x = \(\frac{27}{2}.\frac{1}{3}\)
x = \(\frac{9}{2}\)
Vậy x = \(\frac{9}{2}\)
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Bài làm
~ Mik làm nhầm rồi nha, đừng ai k đúng ~
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