Tìm X: (X-1)2x22=62
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Lời giải:
a. $2x^2+3(x-1)(x+1)=5x(x+1)$
$\Leftrightarrow 2x^2+3x^2-3=5x^2+5x$
$\Leftrightarrow 5x^2-3=5x^2+5x$
$\Leftrightarrow 5x=-3$
$\Leftrightarrow x=\frac{-3}{5}$
b.
PT $\Leftrightarrow (-5x^2-2x+16)+4(x^2-x-2)=4-x^2$
$\Leftrightarrow -x^2-6x+8=4-x^2$
$\Leftrightarrow -6x+8=4$
$\Leftrightarrow -6x=-4$
$\Leftrightarrow x=\frac{2}{3}$
c.
PT $\Leftrightarrow 4(x^2+4x-5)-(x^2+7x+10)=3(x^2+x-2)$
$\Leftrightarrow 4x^2+16x-20-x^2-7x-10=3x^2+3x-6$
$\Leftrightarrow 3x^2+9x-30=3x^2+3x-6$
$\Leftrightarrow 6x=24$
$\Leftrightarrow x=4$
\(2\times2^{2x}+4^3.4^x=2^{2x+1}+\left(2^2\right)^3.2^{2x}\\ =2^{2x+1}+2^{6+2x}\)
(x+1)+(x+4)+(x+7)+(x+10)=62
( x + x + x + x ) + ( 1 + 4 + 7 + 10 ) = 62
4x + 22 = 62
4x = 62 - 22
4x = 40
x = 40 : 4
x = 10
(x + 1) + (x + 4) + (x + 7) + (x + 10) = 62
x + 1 + x + 4 + x + 7 + x + 10 = 62
4x + 22 = 62
4x = 40
=> x = 40 / 10 = 4
(x+1)+(x+4)+(x+7)+(x+10)=62
=>4x+22=62
=>4x=62-22
=>4x=40
=>x=10
t tôi nha bn
\(\left(x+1\right)+\left(x+4\right)+\left(x+7\right)+\left(x+10\right)=62\)
\(\Rightarrow x+1+x+4+x+7+x+10=62\)
\(\Rightarrow4x+22=62\)
\(\Rightarrow4x=40\)
\(\Rightarrow x=10\)
1/4 nhân x + 30% nhân x + x = 62
\(x\) + \(x\) + \(x\) + \(x\) = 100
\(x\) \(\times\) 1 + \(x\) \(\times\) 1 + \(x\) \(\times\)1 + \(x\) \(\times\) 1 + \(x\) \(\times\) 1 = 100
\(x\) \(\times\) ( 1 + 1 + 1 + 1 + 1 ) = 100
\(x\) \(\times\) 5 = 100
\(x\) = 100 : 5
\(x\) = 20
\(x\) + \(x\) + \(x\) + \(x\) \(\times\) 5 = 200
\(x\) \(\times\) 1 + \(x\) \(\times\) 1 + \(x\) \(\times\)1 + \(x\) \(\times\) 5 = 200
\(x\) \(\times\) ( 1 + 1 + 1 + 5) = 200
\(x\) \(\times\) 8 = 200
\(x\) = 200 : 8
\(x\) = 25
(\(x\) + 1) + (\(x\) + 4) + ( \(x\) + 7) + (\(x\) + 10) = 62
\(x\) + 1 + \(x\) + 4 + \(x\)+ 7 + \(x\) + 10 = 62
( \(x\) + \(x\) + \(x\) + \(x\) ) + ( 1 + 4 + 7 + 10) = 62
( \(x\) \(\times\) 1 + \(x\) \(\times\) 1 + \(x\) \(\times\) 1 + \(x\) \(\times\) 1) + 22 = 62
\(x\) \(\times\) ( 1 + 1 + 1 + 1) + 22 = 62
\(x\) \(\times\) 4 + 22 = 62
\(x\) \(\times\) 4 = 62 - 22
\(x\) \(\times\) 4 = 40
\(x\) = 40 : 4
\(x\) = 10
\(\frac{1}{4}.\frac{2}{6}............\frac{31}{64}=2^x\)
\(\Rightarrow\frac{1.2........31}{2.2.2.3...........2.31.64}=2^x\)
\(\Rightarrow\frac{1}{2^{30}.2^4}=2^x\)
\(\Rightarrow\frac{1}{2^{34}}=2^x\)
\(\Rightarrow x=-34\)