1.Tìm x : 4 x+2 . 3x=16 . 125
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1.
a) = (xy + \(\frac{1}{5}\)) (x2y2 - \(\frac{xy}{5}\)+ \(\frac{1}{25}\))
b) = (x + 5 - x + 5) [(x+5)2 + (x+5)(x-5) + (x-5)2] = 10 (x2 + 10x + 25 + x2 - 25 + x2 - 10x + 25) = 10 (3x2 +25)
c) = (6 - x + 6 + x) [(6-x)2 - (6-x)(6+x) + (6+x)2] = 12 (36 - 12x + x2 - 26 + x2 + 36 + 12x + x2) = 12 (3x2 + 36) = 12. 3(x2 + 12) = 36(x2 +12)
d) = (3x - 5)3
2.
a) => (2x - 5x2)(2x + 5x2) = 0 ............. giải ra
b) => (x-4)2 = 0 => x - 4 = 0 => x= 4
c) => (x - 1)3 = 0 => x - 1 = 0 => x = 1
5x + 2x = 91
7x = 91
x = 91 : 7 = 13
4x-3 = 256
4x-3 = 44
=> x - 3 = 4
=> x = 7
Hai câu sau không rõ, xin mời viết rõ ràng hơn
a) x = 4
b) x = 5
c) x = 2
d) x = 2
e, x = 1
f, x = 0 hoặc x = 1
a) x = 4
b) x = 5
c) x = 2
d) x = 2
e) x = 1
f) x = 0 hoặc x = 1.
a: Ta có: \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(\Leftrightarrow x^3+8-x^3-2x=15\)
\(\Leftrightarrow2x=-7\)
hay \(x=-\dfrac{7}{2}\)
b: Ta có: \(\left(x-2\right)^3-\left(x-4\right)\left(x^2+4x+16\right)+6\left(x+1\right)^2=49\)
\(\Leftrightarrow x^3-6x^2+12x-8-x^3+64+6\left(x+1\right)^2=49\)
\(\Leftrightarrow-6x^2+12x+56+6x^2+12x+6=49\)
\(\Leftrightarrow24x=-13\)
hay \(x=-\dfrac{13}{24}\)
b. (x + 4)2 - (x + 1)(x - 1) = 16
<=> x2 + 4x + 16 - (x2 - 1) = 16
<=> x2 + 4x + 16 - x2 + 1 - 16 = 0
<=> x2 - x2 + 4x = 16 - 16 - 1
<=> 4x = -1
<=> x = \(\dfrac{-1}{4}\)
\(a,\Leftrightarrow-9x^2+30x-25+9x^2+18x+9=30\\ \Leftrightarrow48x=46\\ \Leftrightarrow x=\dfrac{23}{24}\\ b,\Leftrightarrow x^2+8x+16-x^2+1=16\\ \Leftrightarrow8x=-1\Leftrightarrow x=-\dfrac{1}{8}\)
\(4^{x+2}.3^x=16.12^5\\ \Rightarrow4^{x+2}.3^x=4^2.4^5.3^5\\ \Rightarrow4^{x+2}.3^x=4^7.3^5\\ \Rightarrow\dfrac{4^{x+2}}{4^7}.\dfrac{3^x}{3^5}=1\\ \Rightarrow4^{x-5}.3^{x-5}=1\\ \Rightarrow12^{x-5}=1\\ \Rightarrow x-5=0\\ \Rightarrow x=5\)
\(4^{x+2}\cdot3^x=16\cdot12^5\)
\(\Rightarrow4^{x+2}\cdot3^x=4^2\cdot4^5\cdot3^5\)
\(\Rightarrow4^{x+2}\cdot3^x=4^7\cdot3^5\)
\(\Rightarrow\left\{{}\begin{matrix}4^{x+2}=4^7\\3^x=3^5\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x+2=7\\x=5\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=5\\x=5\end{matrix}\right.\)
\(\Rightarrow x=5\)
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