dúp mik vs nha
Tìm x biết: \(172x^2-7^9\div98^3=\frac{1}{23}\)
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\(a.172x^2-7^9=2^{-3}.98^3=117649\)
\(172x^2=117649+7^9=40471256\)
\(x^2=40471256:172=235298\)
\(x=\sqrt{235298}=485.07......\)
172x2 - 79:933 = 2-3
172x2 - 42,875 = 0,125
172x2 = 0,125 + 42,875
172x2 = 43
x2 = 172 : 43
x2 = 4
x = \(\sqrt{4}\) = 2 ( 22 = 4 )
Vậy x = 2
172x2 - 79 : 983 = 2-3
<=> 172x2 - 79 : ( 2 . 72 )3 = 1/8
<=> 172x2 - 79 : ( 23 . 76 ) = 1/8
<=> 172x2 - 79 : 23 : 76 = 1/8
<=> 172x2 - 73 : 23 = 1/8
<=> 172x2 - ( 7 : 2 )3 = 1/8
<=> 172x2 - 343/8 = 1/8
<=> 172x2 = 43
<=> x2 = 43/172 = 1/4
<=> x = ±1/2
a) \(\frac{31}{23}-\left(\frac{7}{32}+\frac{8}{23}\right)=\frac{31}{23}-\frac{7}{32}-\frac{8}{23}=1-\frac{7}{32}=\frac{25}{32}\)
b) \(\left(\frac{1}{3}+\frac{12}{67}+\frac{13}{41}\right)-\left(\frac{79}{67}-\frac{28}{41}\right)\)
\(=\frac{1}{3}+\frac{12}{67}+\frac{13}{41}-\frac{79}{67}+\frac{28}{41}\)
\(=\frac{1}{3}-\left(\frac{79}{67}-\frac{12}{67}\right)+\left(\frac{13}{41}+\frac{28}{41}\right)\)
\(=\frac{1}{3}-1+1=\frac{1}{3}\)
d) \(\frac{1}{7}.\frac{1}{3}+\frac{1}{7}.\frac{-1}{3}+\frac{17}{19}=\frac{1}{7}.\left(\frac{1}{3}-\frac{1}{3}\right)+\frac{17}{19}=\frac{17}{19}\)
e) \(\frac{3}{5}.\frac{7}{9}+\frac{7}{5}.\frac{2}{9}=\frac{7}{5}.\left(\frac{3}{9}+\frac{2}{9}\right)=\frac{7}{5}.\frac{5}{9}=\frac{7}{9}\)