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a)\(\frac{x}{27}=\frac{-2}{3,6}\)
=>x.3,6=27.(-2)
=>x.3,6=-54
=>x=-15
b)-0,52:x=-9,36:16,38
=>-0,52:x=-4/7
=>x=0,91
c)\(\frac{4\frac{1}{4}}{2\frac{7}{8}}=\frac{x}{1,61}\)
=>\(2\frac{7}{8}.x=4\frac{1}{4}.1,61\)
=>\(2\frac{7}{8}.x=\frac{2737}{400}\)
=>x=\(\frac{119}{50}\)
a,\(\frac{x}{27}=-\frac{2}{3,6}\)
\(\Leftrightarrow x.3,6=27.-2\)
\(\Leftrightarrow x.3,6=-54\)
\(\Leftrightarrow x=-15\)
b,\(-0,52\div x=-9,36\div16,38\)
\(\Leftrightarrow-0,52\div x=-\frac{4}{7}\)
\(\Leftrightarrow x=\frac{91}{100}\)
c,\(\frac{4\frac{1}{4}}{2\frac{7}{8}}=\frac{x}{1,61}\)
\(\Leftrightarrow\frac{4,25}{2,875}=\frac{x}{1,61}\)
\(\Leftrightarrow x.2,875=4,25.1,61\)
\(\Leftrightarrow x.2,875=6,8425\)
\(\Leftrightarrow x=2,38\)
Bài 1: Tính
\(\left(\frac{-2}{3}\right)^4\times9^2\)
Bài 2: Tìm x
\(x^4=\frac{16}{625}\)
Giups mk vs!!!
Bài làm
1. \(\left(-\frac{2}{3}\right)^4.9^2\)
\(=\frac{16}{81}.81\)
\(=16\)
2. \(x^4=\frac{16}{625}\)
=>\(x^4=\left(\frac{2}{5}\right)^4\)
=> \(x=\frac{2}{5}\)
Vậy \(x=\frac{2}{5}\)
# Học tốt #
Bài 1:
\(\left(-\frac{2}{3}\right)^4.9^2=\frac{\left(-2\right)^4}{3^4}.\left(3^2\right)^2=\frac{2^4}{3^4}.3^4=2^4=16\)
Bài 2:
\(x^4=\frac{16}{625}\Leftrightarrow x^4=\frac{4^4}{5^4}\Leftrightarrow x^4=\left(\frac{4}{5}\right)^4\)
\(\Rightarrow x=\frac{4}{5}\)hoặc\(x=-\frac{4}{5}\)
Vậy........
2a) Áp dụng t/c của dãy tỉ số bằng nhau, ta có:
\(\frac{x}{10}=\frac{y}{6}=\frac{z}{21}\) => \(\frac{5x}{50}=\frac{y}{6}=\frac{2z}{42}=\frac{5x+y-2z}{50+6-42}=\frac{28}{14}=2\)
=> \(\hept{\begin{cases}\frac{x}{10}=2\\\frac{y}{6}=2\\\frac{z}{21}=2\end{cases}}\) => \(\hept{\begin{cases}x=2.10=20\\y=2.6=12\\z=2.21=42\end{cases}}\)
Vậy x,y,z lần lượt là 20; 12; 42
#)Giải :
Bài 2 :
d) Đặt \(\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=k\)
\(\Rightarrow x=2k;y=3k;z=5k\)
\(\Rightarrow2k.3k.5k=810\)
\(\Rightarrow30k^3=810\)
\(\Rightarrow k^3=3\)
\(\Rightarrow k=3\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{2}=3\\\frac{y}{3}=3\\\frac{z}{5}=3\end{cases}\Rightarrow\hept{\begin{cases}x=6\\x=9\\x=15\end{cases}}}\)
Vậy x = 6; y = 9; z = 15
1, 4x = 5y <=> 4x - 5y = 0 (1)
Mà: x -2y = -5 <=> 4x - 8y = -20 (2)
Trừ (1) cho (2) ta có: 4x - 5y - 4x + 8y = 0 - (-20)
<=> 3y = 20 <=> y = \(\frac{20}{3}\)
=> x =\(\frac{25}{3}\)
2, \(ad=bc\)\(\Leftrightarrow\frac{a}{b}=\frac{c}{d}\Leftrightarrow\frac{a}{b}+1=\frac{c}{d}+1\Leftrightarrow\frac{a+b}{b}=\frac{c+d}{d}\left(dpcm\right)\)
3, \(\frac{x^2}{6}=\frac{24}{25}\Leftrightarrow25x^2=24\times6\Leftrightarrow25x^2=144\Leftrightarrow x^2=\frac{144}{25}\Leftrightarrow\orbr{\begin{cases}x=-\frac{12}{5}\\x=\frac{12}{5}\end{cases}}\)
1)
4x=5y va x-2y=-5
ta co 4x=5y suy ra x/5=y/4
theo t/c cua ti le thuc ta co
x/5=y/4=x-2y/5-8=-5/-3=5/3
do do
x=25/3
y=20/3
Mình ko ghi áp dụng tính chất dãy bằng nhau nx nhé
\(\frac{x}{2}=\frac{y}{3}=\frac{z}{4}=\frac{x+y+z}{2+3+4}=2\Rightarrow x=2.2=4;y=2.3=6;z=2.4=8\)
\(\frac{x}{5}=\frac{y}{-6}=\frac{z}{7}=\frac{-z}{-7}=\frac{x+y-z}{5-6-7}=\frac{32}{-8}=-4\Leftrightarrow x=-20;y=24;z=-28\)
\(\frac{2x}{10}=\frac{3y}{6}=\frac{5z}{15}=\frac{2x-3y+5z}{10-6+15}=\frac{38}{19}=2\Rightarrow x=10;y=4;z=6\)
\(\frac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}.\frac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^x\)
\(\Rightarrow\frac{4.4^5}{3.3^5}.\frac{6.6^5}{2.2^5}=2^x\)
\(\Rightarrow\frac{4^6}{3^6}.\frac{6^6}{2^6}=2^x\)
\(\Rightarrow\frac{4^6.6^6}{3^6.2^6}=2^x\)
\(\Rightarrow\frac{\left(4.6\right)^6}{\left(3.2\right)^6}=2^x\)
\(\Rightarrow\frac{24^6}{6^6}=2^x\)
\(\Rightarrow4^6=2^x\)
\(\Rightarrow\left(2^2\right)^6=2^x\)
\(\Rightarrow2^{2.6}=2^x\)
\(\Rightarrow2^{12}=2^x\)
\(\Rightarrow x=12\)
\(\frac{4^5+4^5+4^5+4^5}{3^5+3^5+3^5}.\frac{6^5+6^5+6^5+6^5+6^5+6^5}{2^5+2^5}=2^x.\)
\(\Rightarrow\frac{4.4^5}{3.3^5}.\frac{6.6^5}{2.2^5}=2^x\)\(\Rightarrow\frac{4^6.6^6}{3^6.2^6}=2^x\)
\(\Rightarrow\frac{2^6.2^6.2^6.3^6}{3^6.2^6}=2^x\)\(\Rightarrow2^6.2^6=2^x\)
\(\Rightarrow2^{12}=2^x\Leftrightarrow x=12\)
\(\frac{x-18}{x+4}=\frac{x-17}{x+16}\)
\(\Rightarrow\left(x-18\right).\left(x+16\right)=\left(x+4\right).\left(x-17\right)\)
\(x^2+16x-18x-288=x^2-17x+4x-68\)
\(x^2-2x-288=x^2-13x-68\)
\(\Rightarrow x^2-2x-x^2+13x=-68+288\)
\(11x=220\)
x = 220:11
x = 20
x - 18 / x + 4 = x -17 / x + 16
<=> (x-18) . ( x+ 16) = (x+4) . (x-17)
<=> x2 + 16x - 18x -288 = x2 -17x + 4x -68
<=>x2 - 2x -288 = x2 -13x -68
<=> x2 - x2 -2x + 13x = 288 - 68
<=> 11x = 220 => x = 20
vậy x= 20
chúc bạn hok tốt và nhớ ủng hộ mik nha