Tìm y biết: a) y/7 = 56/49 ; b) 15/27 = 5/y
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tìm y
a)y 56 b) 15 5
__ = __ __ = __
7 49 27 y
\(a,\Rightarrow7y=56\Leftrightarrow y=8\)
b, \(\Rightarrow3y=27\Leftrightarrow y=9\)
a) y.49 = 56.7
y.49=392
y=392:49
y=8
b)15.y=27.5
15.y= 135
y=135:15
y=9
(tick nhé)
a,\(\frac{y}{7}\)=\(\frac{56:7}{49:7}\)
\(\Rightarrow\frac{y}{7}\)=\(\frac{8}{7}\)
\(\Rightarrow y=8\)
Vậy y=8
b,\(\frac{15}{27}=\frac{5}{y}\)
\(\Rightarrow\frac{15:3}{27:3}=\frac{5}{y}\)
\(\Rightarrow\frac{5}{9}=\frac{5}{y}\)
\(\Rightarrow y=9\)
Vậy y=9
a) \(\left(3x-5\right)\left(5-3x\right)+9\left(x+1\right)^2=30\)
\(\Rightarrow15x-9x^2-25+15x+9\left(x^2+2x+1\right)-30=0\)
\(\Rightarrow30x-9x^2-25+9x^2+18x+9-30=0\)
\(\Rightarrow48x-46=0\)
\(\Rightarrow x=\frac{23}{24}\)
b) \(\left(x+4\right)^2-\left(x+1\right)\left(x-1\right)=16\)
\(\Rightarrow\left(x^2+8x+16\right)-\left(x^2-1\right)=16\)
\(\Rightarrow x^2+8x+16-x^2+1=16\)
\(\Rightarrow8x+17=16\)
\(\Rightarrow8x=-1\)
\(\Rightarrow x=\frac{-1}{8}\)
c) \(\left(y-2\right)^3-\left(y-3\right)\left(y^2+3y+9\right)+6\left(y+1\right)^2=49\)
\(\Rightarrow\left(y-2\right)^3-\left(y^3-3^3\right)+6\left(y^2+2y+1\right)=49\)
\(\Rightarrow y^3-6y^2+12y-8-y^3+27+6y^2+12y+6=49\)
\(\Rightarrow\left(y^3-y^3\right)+\left(-6y^2+6y^2\right)+\left(12y+12y\right)+\left(-8+27+6\right)=49\)
\(\Rightarrow24y+25=49\)
\(\Rightarrow24y=24\)
\(\Rightarrow y=1\)
d) \(\left(y+3\right)^3-\left(y+1\right)^3=56\)
\(\Rightarrow\left(y+3-y-1\right)[\left(y+3\right)^2+\left(y+3\right)\left(y+1\right)+\left(y+1\right)^2]=56\)
\(\Rightarrow2\left(y^2+6y+9+y^2+4y+3+y^2+2y+1\right)=56\)
\(\Rightarrow3y^2+12y+13=28\)
\(\Rightarrow\left(3y^2+15y\right)-\left(3y+15\right)=0\)
\(\Rightarrow3y\left(y+5\right)-3\left(y+5\right)=0\)
\(\Rightarrow3\left(y-1\right)\left(y+5\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x+5=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=-5\end{cases}}\)
Vậy suy ra :y^2 . y = -49 . 7
y^3 = -343
Mà -343 = -7^3
Vậy y= -7
8.2^3x.7^y=56^2x.5^x-1
=>8.8^x.7^y=(8.7)^2x.5^x-1
=>8^1+x.7^y=8^2x.7^2x.5^x-1
=>8^1+x.7^y / 8^2x.7^2x=5^x-1
=>8^x+1-2x . 7^y-2x = 5^x-1
=>8^1-x.7^y-2x=5^-(1-x)
=>8^1-x.7^y-2x=1/5^1-x
=>8^1-x.7^y-2x.5^1-x=1
=>(8.5)^x-1.7^y-2x=1
=>40^x-1.7^y-2x=1
=>x-1=0 và y-2x=0
=>x=1 và y=2
Rút gọn: \(\frac{56}{49}=\frac{8}{7}\)
\(\frac{y}{7}=\frac{8}{7}\Rightarrow y=8\)
Rút gọn: \(\frac{15}{27}=\frac{5}{9}\)
\(\frac{5}{9}=\frac{5}{y}\Rightarrow y=9\)
a) y/7=56/49=> 7.56=y.49
=> y=7.56:49
=>y=8 vậy y=8
b)15/49=5/y
=> 15y=27.5
=> y=27.5:15
=>y=9 vậy y=9