Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a,\left|x+3,4\right|+\left|x+2,4\right|+\left|x+7,2\right|=4x\)
\(\left|x+3,4\right|\ge0;\left|x+2,4\right|\ge0;\left|x+7,2\right|\ge0\)
\(< =>\left|x+3,4\right|+\left|x+2,4\right|+\left|x+7,2\right|>0\)
\(< =>4x>0\)
\(x>0\)
\(\hept{\begin{cases}\left|x+3,4\right|=x+3,4\\\left|x+2,4\right|=x+2,4\\\left|x+7,2\right|=x+7,2\end{cases}}\)
\(x+3,4+x+2,4+x+7,2=4x\)
\(x=13\left(TM\right)\)
\(b,3^{n+3}+3^{n+1}+2^{n+3}+2^{n+2}\)
\(3^n.27+3^n.3+2^n.8+2^n.4\)
\(3^n.30+2^n.12\)
\(\hept{\begin{cases}3^n.30⋮6\\2^n.12⋮6\end{cases}}\)
\(< =>3^n.30+2^n.12⋮6< =>VP⋮6\)
\(a,\left(x+2\right)\left(x^2-2x+4\right)=x^3+2x\)
\(\Rightarrow\)\(x^3+8-x^3-2x=0\)
\(\Rightarrow\)\(2x=8\)
\(\Rightarrow\)\(x=4\)
\(b,\left(3x-2\right)\left(9x^2+6x+4\right)-27x^3=3x-5\)
\(\Rightarrow\)\(27x^3-8-27x^3-3x+5=0\)
\(\Rightarrow\)\(3x=-3\)
\(\Rightarrow\)\(x=-1\)
86.NHỮNG PHÉP TÍNH THÚ VỊ
24+36=1
11+13=1
158+207=1
46+54=1
thì khi đó người làm câu hỏi bị sai/ mình nghĩ thế
a, \(A=x\left(2x^2-3-5x^2-x+x\right)=x\left(-3x-3\right)\)\(=-3x\left(x+1\right)\)
b, \(B=3x^2-6x-5x+5x^2-8x^2+24\)\(=-9x+24\)
C, \(C=x\left(2x^4-x^2-4x^4-2x^2+x-2x+6x^2\right)\)\(=x\left(-2x^4+3x^2-x\right)=-2x^5+3x^3-x^2\)
Chúc học tốt !
Lm ko chép lại đề
\(1.\left(x+4\right)^2-\left(x-1\right)\left(x+1\right)=16\Leftrightarrow x^2+8x+16-x^2+1=16\)
\(\Leftrightarrow8x=-1\Leftrightarrow x=-\frac{1}{8}\)
\(2.\left(x-1\right)^2+\left(x+3\right)^2+2\left(x-1\right)\left(x+3\right)=4\Leftrightarrow\left(x-1+x+3\right)^2=4\)
\(\Leftrightarrow\left(2x+2\right)^2=4\Leftrightarrow\orbr{\begin{cases}2x+2=2\\2x+2=-2\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)
3.\(\left(x-1\right)^2-x\left(x-1\right)=0\Leftrightarrow\left(x-1\right)\left[\left(x-1\right)-x\right]=0\Leftrightarrow x-1=0\Leftrightarrow x=1\)
\(4.\left(3x-1\right)^2+\left(5x-2\right)^2-2\left(3x-1\right)\left(5x-2\right)=9\Leftrightarrow\left(3x-1-5x+2\right)^2=9\)
\(\Leftrightarrow\left(2x-1\right)^2=9\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
5.\(\left(x-1\right)\left(x^2+x+1\right)-x\left(x-2\right)\left(x+2\right)=5\Leftrightarrow x^3-1-\left(x^3-4x\right)=5\)
\(\Leftrightarrow4x=6\Leftrightarrow x=\frac{3}{2}\)
6.\(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)+\left(x-2\right)\left(x+2\right)=2\)
\(\Leftrightarrow x^3-3x^2+3x-1-\left(x^3+27\right)+x^2-4=2\)
\(\Leftrightarrow-2x^2+3x-34=0\text{ vô nghiệm}\)