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\(\frac{x}{-4}=-\frac{25}{x}\)
\(\Leftrightarrow x^2=100\)
\(\Leftrightarrow x=\pm10\)
#H
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Ta có:
\(\frac{x}{4}=\frac{y}{12}=\frac{z}{15}\) và \(y-x=4\)
Áp dụng tính chất của dãy tỉ số bằng nhau:
\(\frac{x}{4}=\frac{y}{12}=\frac{z}{15}=\frac{y-x}{12-4}=\frac{4}{8}=\frac{1}{2}\)
\(\hept{\begin{cases}\frac{x}{4}=\frac{1}{2}\Rightarrow x=\frac{1}{2}.4=2\\\frac{y}{8}=\frac{1}{2}\Rightarrow y=\frac{1}{2}.8=4\\\frac{z}{15}=\frac{1}{2}\Rightarrow z=\frac{1}{2}.15=7,5\end{cases}}\)
Vậy \(x=2;y=4;z=7,5\)
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Bài 2 :
a,\(\frac{x-1}{3}=2-\frac{x}{-2}\)
\(\Leftrightarrow\frac{x-1}{3}=\frac{-4-x}{-2}\Leftrightarrow-2x+2=-12-3x\Leftrightarrow x=-14\)
b, \(\frac{x-1}{x+5}=\frac{6}{7}\Leftrightarrow7x-7=6x+30\Leftrightarrow x=37\)
c, \(\frac{2x-1}{4}=\frac{4}{2x-1}\Leftrightarrow\left(2x-1\right)^2=16\)
\(\Leftrightarrow\left(2x-1\right)^2-4^2=0\Leftrightarrow\left(2x-5\right)\left(2x+3\right)=0\Leftrightarrow x=\frac{5}{2};-\frac{3}{2}\)
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b, 3(x+2) -5( 2-x)
=> 3x + 6 - 10 + 5x = 4
=> 8x - 4= 4
=> 8x = 8
=> x= 1
xét 2 trường hợp
TH1 / 2x+3 /= 2x+3
ta có 2x+3= x+2
=> 2x - x = 2-3
=> x= -1
TH2 / 2x +3 / = -( 2x+3)
ta có -( 2x+3) = x+2
=> -2x -3 = x+2
=> -2-3 = x+2x
=> -5 = 3x
=> x= \(\frac{-5}{3}\)
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Áp dụng định lí Pytago, Ta có:
x2=122+52=144+25=169
=> 132=x2 => x=13.
Hình b) ta có:
x2= 12 + 22 = 1+4=5
x= √5
Hình c)
Theo định lí pytago:
292=212+x2
nên x2=292-212
= 841-441=400=202
=>x=20
Hình d)
x2=( √7)2+32=7+9=16=42
x=4.
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=> 2 [ \(P\left(x\right)+Q\left(x\right)+G\left(x\right)\)]= \(x^3+6x^2+5x-4+2x^2+5x^2-x-3-x^3+3x^2-6x+5=16x^2-2x-12\)
=>\(P\left(x\right)+Q\left(x\right)+G\left(x\right)=8x^2-x-6\)
=> \(G\left(x\right)=2x^2-x^3-6x-2\), \(P\left(x\right)=x^2-3\), \(Q\left(x\right)=x^3+5x^2+5x-1\)
đúng cái đi
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a, |x| - x = \(\frac{3}{4}\)
nếu x > hoặc = 0
suy ra |x| = x
|x| - x = 0
vậy x < 0
suy ra
|x| - ( -x ) = \(-\frac{3}{4}\)
|x| + x = \(-\frac{3}{4}\)
2 . x = \(-\frac{3}{4}\)
x = \(-\frac{3}{8}\)
nói rõ lại đề b hộ tôi vs
2 .
\(\frac{-15}{-3}\)\(=\)\(\frac{x}{4}\)
\(\Rightarrow\)\(5\)\(=\)\(\frac{x}{4}\)
\(\Rightarrow\)\(x\)\(=\)\(20\)
k cho mik nha<3
hok tốt^^
\(\frac{-15}{-3}=\frac{x}{4}\)
\(\Leftrightarrow-60=-3x\)
\(\Leftrightarrow x=20\)
#H