tìm x biết:x+(x+1)+(x+2)+......+(x+21)=231
giúp với e đg cần gấp ạ
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\(x+x+x\times1+x\times6=120\\ x\times\left(1+1+1+6\right)=120\\ x\times9=120\\ x=\dfrac{120}{9}\\ x=\dfrac{40}{3}\)
\(\dfrac{x}{3}=\dfrac{y}{7}\Rightarrow x=\dfrac{3}{7}y\\ xy=175\Rightarrow\dfrac{3}{7}y\cdot y=175\\ \Rightarrow y^2=175:\dfrac{3}{7}=\dfrac{1225}{3}\Rightarrow y=\dfrac{35\sqrt{3}}{3}\\ \Rightarrow x=\dfrac{35\sqrt{3}}{7}\)
Hình như bạn ghi sai đề vì lớp 7 chưa học căn
a: Thay x=-3 vào B, ta được:
\(B=\dfrac{2\cdot\left(-3\right)^2}{3\cdot\left(-3\right)+6}=\dfrac{2\cdot9}{-9+6}=\dfrac{18}{-3}=-6\)
b: \(A=\dfrac{2x^2+20+3x-6-7x-14}{\left(x+2\right)\left(x-2\right)}=\dfrac{2x^2-4x}{\left(x+2\right)\left(x-2\right)}=\dfrac{2x}{x+2}\)
a) \(a^2\cdot a^3\cdot a^7\cdot b^2\cdot b\)
\(=\left(a^2\cdot a^3\cdot a^7\right)\cdot\left(b^2\cdot b\right)\)
\(=a^{12}\cdot b^3\)
b) \(b^6\cdot b\cdot c^7\cdot c^8\)
\(=\left(b^6\cdot b\right)\cdot\left(c^7\cdot c^8\right)\)
\(=b^7\cdot c^{15}\)
c) \(a^8\cdot a^9\cdot a\cdot c\cdot c^{20}\)
\(=\left(a^8\cdot a^9\cdot a\right)\cdot\left(c\cdot c^{20}\right)\)
\(=a^{18}\cdot c^{21}\)
d) \(a^2\cdot a^3\cdot b^4\cdot c\cdot c^3\)
\(=\left(a^2\cdot a^3\right)\cdot b^4\cdot\left(c\cdot c^3\right)\)
\(=a^5\cdot b^4\cdot c^4\)
a) Kiểm tra lại nhé
b) \(b^6.b^7.c^8\)
\(=b^{6+7}.c^8=b^{13}.c^8\)
c) \(a^8.a^9.a.c.c^{20}\)
\(=a^{8+9+1}.c^{1+20}\)
\(=a^{18}.c^{21}\)
d) \(a^2.a^3.b^4.c.c^3\)
\(=a^{2+3}.b^4.c^{1+3}\)
\(=a^5.b^4.c^4\)
\(#WendyDang\)
Ta có: \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+2003\right)=4+1007\cdot2003\)
\(\Leftrightarrow2004x+\dfrac{2003\cdot2004}{2}=4+1007\cdot2003\)
\(\Leftrightarrow2004x=10019\)
hay \(x=\dfrac{10019}{2004}\)
\(x^2+\left(x+3\right)\left(x-9\right)=-27\\ \Rightarrow x^2+x^2+3x-9x-27=-27\\ \Rightarrow2x^2-6x=0\\ \Rightarrow2x\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=3\end{matrix}\right.\)
\(x^2+\left(x+3\right)\left(x-9\right)=-27\)
\(\Rightarrow2x^2-6x=0\)
\(\Rightarrow2x\left(x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=3\end{matrix}\right.\)
Lời giải:
$x+(x+1)+(x+2)+....+(x+21)=231$
$\underbrace{x+x+....+x}_{22}+(1+2+3+...+21)=231$
$22x+231=231$
$22x=0$
$x=0$