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\(a,\left(x+1\right)^2=81\)
\(\left(x+1\right)^2=9^2\) Hoặc \(\left(x+1\right)^2=\left(-9\right)^2\)
\(\left(x+1\right)=9\) \(x+1=-9\)
\(x=8\) \(x=-10\)
b,\(\left(x+5\right)^{^{ }3}=-64\)
\(\left(x+5\right)^3=\left(-4\right)^3\)
\(x+5=-4\)
=> \(x=-9\)
c,\(\left(2x-3\right)^2=9\)
=>\(\left(2x-3\right)^2=3^2\)Hoặc \(\left(2x-3\right)^2=\left(-3\right)^2\)
\(2x-3=3\) \(2x-3=-3\)
\(2x=6\) \(2x=0\)
=> \(\hept{\begin{cases}x=3\\x=0\end{cases}}\)
d, \(\left(4x+1\right)^3=27\)
\(\left(4x+1\right)^{^{ }3}=3^3\)
\(4x+1=3\)
\(4x=2\)
\(x=\frac{1}{2}\)
\(D=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{8^6}{4}=\frac{\left(2^3\right)^6}{2^2}=\frac{2^{18}}{2^2}=2^{16}\)
\(D=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{4^{15}+4^{10}}{4^6+4^{11}}=\frac{4^{10}.4^5+4^{10}}{4^6+4^6.4^5}=\frac{4^{10}.\left(4^5+1\right)}{4^6.\left(4^5+1\right)}=\frac{4^{10}}{4^6}=4^4=256\)
phần D trên mk làm sai xin lỗi nha

vậy f(1/2)+3.f(2)=1/4 hay 3f(1/2)+9.f(2)=3/4
và f(2)+3.f(1/2)=4
trừ vế theo vế ta đc
8.f(2)=-13/4
suy ra f(2)=-13/32
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!

Ta có: |2x - 1| = |1 - 2x|
Lại có: \(\left|2x+3\right|+\left|1-2x\right|\ge\left|2x+3+1-2x\right|=\left|4\right|=4\)
Mà \(\left|2x+3\right|+\left|1-2x\right|=\frac{8}{3\left(x+1\right)^2+2}\)
\(\Rightarrow\frac{8}{3\left(x+1\right)^2+2}=4\)\(\Rightarrow3\left(x+1\right)^2+2=8\div4\)\(\Rightarrow3\left(x+1\right)^2+2=2\)\(\Rightarrow3\left(x+1\right)^2=2-2=0\)\(\Rightarrow\left(x+1\right)^2=0\)\(\Rightarrow x+1=0\)\(\Rightarrow x=-1\)
Sửa bài:
\(\left|2x+3\right|+\left|2x-1\right|=\left|2x+3\right|+\left|1-2x\right|\ge\left|2x+3+1-2x\right|=4\) với mọi x
\(\frac{8}{3\left(x+1\right)^2+2}\le\frac{8}{3.0+2}=4\)với mọi x
=> \(\left|2x+3\right|+\left|2x-1\right|\ge\frac{8}{3\left(x+1\right)^2+2}\)với mọi x
=> \(\left|2x+3\right|+\left|2x-1\right|=\frac{8}{3\left(x+1\right)^2+2}\)
<=> \(\hept{\begin{cases}\left(2x+3\right)\left(1-2x\right)\ge0\\\left(x+1\right)^2=0\end{cases}\Leftrightarrow}x=-1\)
Vậy S = { -1 }

\(A=\left|x-3\right|+\left|y+3\right|+2016\)
\(\left|x-3\right|\ge0\)
\(\left|y+3\right|\ge0\)
\(\Rightarrow\left|x-3\right|+\left|y+3\right|+2016\ge2016\)
Dấu ''='' xảy ra khi \(x-3=y+3=0\)
\(x=3;y=-3\)
\(MinA=2016\Leftrightarrow x=3;y=-3\)
\(\left(x-10\right)+\left(2x-6\right)=8\)
\(x-10+2x-6=8\)
\(3x=8+10+6\)
\(3x=24\)
\(x=\frac{24}{3}\)
x = 8

A=(3x+7)(2x+3)-(3x-5)(2x+11) =6x2+9x+14x+21-6x2-33x+10x+55 =(6x2-6x2)+(9x+14x-33x+10x)+(21+55) =76
\(A=\left(3x+7\right)\left(2x+3\right)-\left(3x-5\right)\left(2x+11\right)\)
\(\Leftrightarrow A=6x^2+14x+9x+21-\left(6x^2-10x+33x-55\right)\)
\(\Leftrightarrow A=6x^2+23x+21-\left(6x^2+23x-55\right)\)
\(\Leftrightarrow A=6x^2+23x+21-6x^2-23x+55\)
\(\Leftrightarrow A=76\)
\(B=\left(x+1\right)\left(x^2-x-1\right)-\left(x-1\right)\left(x^2+x+1\right)\)
\(\Leftrightarrow B=\left(x+1\right)x^2-x\left(x+1\right)-\left(x+1\right)-\left(x-1\right)x^2-\left(x-1\right)x-\left(x-1\right)\)
\(\Leftrightarrow B=x^3+x^2-x^2-x-x-1-x^3+x^2-x^2+x-x+1\)
\(\Leftrightarrow B=\left(x^3-x^3\right)+\left(x^2-x^2+x^2-x^2\right)+\left(x-x-x-x\right)+\left(1-1\right)\)
\(\Leftrightarrow B=-2x\)
\(\left(2x-1^{ }\right)\)^3 = -2^3
2x-1 = 2
2x= 2+1
2x= 3
x = \(\frac{3}{2}\)
"^" là đấu mũ nhé
k nha