tìm x
(x+2)^2-9=0
(x+3)^2+2.(x+3).(x-2)+(x-2)^2
giúp mk nha đag cần gấp
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1)\(\left(2^5:2^3\right).2^x=64\)
\(\Rightarrow2^{5-3+x}=2^6\)
\(\Rightarrow2^{2+x}=2^6\)
\(\Rightarrow.2^22^x=2^6\)
\(\Rightarrow2^x=2^6:2^2\)
\(\Rightarrow2^x=2^4\Rightarrow x=4\)
2)Tính:
\(F=3^0+3^1+...+3^9\)
\(\Rightarrow3F=3\left(3^0+3^1+...+3^9\right)=3+3^2+3^3+...+3^{10}\)
\(3F-F=3+3^2+...+3^{10}-3^0-3^1-...-3^9\)
\(2F=3^{10}-3^0=3^{10}-1\)
\(F=\frac{3^{10}-1}{2}\)
2
ta có : F = 1 + 3 + 32 + ..... + 39
=> 3F = 3 + 32 + 33 +..... + 310
=> 3F - F = 310 - 1
=> 2F = 310 - 1
=> F = \(\frac{3^{10}-1}{2}\)
\(\Rightarrow\dfrac{2}{3}:x=\dfrac{5}{3}\Rightarrow x=\dfrac{2}{3}:\dfrac{5}{3}=\dfrac{2}{5}\)
a) \(\sqrt{4x^2+4x+1}=6\)
\(\Leftrightarrow\sqrt{\left(2x+1\right)^2}=6\)
\(\Leftrightarrow\left(2x+1\right)^2=6^2\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+1=6\\2x+1=-6\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-\dfrac{7}{2}\end{matrix}\right.\)
b) \(\sqrt{4x^2-4\sqrt{7}x+7}=\sqrt{7}\)
\(\Leftrightarrow\sqrt{\left(2x-\sqrt{7}\right)^2}=\sqrt{7}\)
\(\Leftrightarrow\left(2x-\sqrt{7}\right)^2=\left(\sqrt{7}\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-\sqrt{7}=\sqrt{7}\\2x-\sqrt{7}=-\sqrt[]{7}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{7}\\x=0\end{matrix}\right.\)
a) \(\sqrt{4x^2+4x+1}=6\)
\(\Leftrightarrow\sqrt{\left(2x+1\right)^2}=6\)
\(\Leftrightarrow\left|2x+1\right|=6\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+1=6\\2x+1=-6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-\dfrac{7}{2}\end{matrix}\right.\)
b) \(pt\Leftrightarrow\sqrt{\left(2x-\sqrt{7}\right)^2}=\sqrt{7}\)
\(\Leftrightarrow\left|2x-\sqrt{7}\right|=\sqrt{7}\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-\sqrt{7}=\sqrt{7}\\2x-\sqrt{7}=-\sqrt{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{7}\\x=0\end{matrix}\right.\)
Ta có :
a, \(\frac{31}{12}-(\frac{2}{5}+x)=\frac{2}{3}\)
\(\Rightarrow\frac{2}{5}+x=\frac{31}{12}-\frac{2}{3}=\frac{23}{12}\)
\(\Rightarrow\frac{23}{12}-\frac{31}{12}=\frac{-8}{12}=\frac{-2}{3}\)
Câu b để mk làm sau
\(x+x\cdot3:\dfrac{2}{9}+x:\dfrac{2}{7}=252\)
\(\Leftrightarrow x+x\cdot3\cdot\dfrac{9}{2}+x\cdot\dfrac{7}{2}=252\)
\(\Leftrightarrow x\cdot18=252\)
hay x=14
\(a,50\%x-0,2+x=\dfrac{4}{5}\)
\(\Leftrightarrow\dfrac{1}{2}x-0,2+x=\dfrac{4}{5}\)
\(\Leftrightarrow\dfrac{1}{2}x+x=\dfrac{4}{5}+0,2\)
\(\Leftrightarrow\dfrac{3}{2}x=\dfrac{4}{5}+\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{3}{2}x=1\)
\(\Leftrightarrow x=\dfrac{2}{3}\)
\(b,\left(x-\dfrac{3}{4}\right):\dfrac{1}{2}+\dfrac{3}{2}=\dfrac{25}{2}\)
\(\Leftrightarrow\left(x-\dfrac{3}{4}\right).2=\dfrac{25}{2}-\dfrac{3}{2}\)
\(\Leftrightarrow\left(x-\dfrac{3}{4}\right).2=\dfrac{22}{2}\)
\(\Leftrightarrow x-\dfrac{3}{4}=11:2\)
\(\Leftrightarrow x=\dfrac{11}{2}+\dfrac{3}{4}\)
\(\Leftrightarrow x=\dfrac{25}{4}\)
mk chỉ làm câu a thôi nha câu b mk ko hiểu đề
a) ( x+2) ^2 - 9 =0
<=> (x+2)^2 = 9
<=> (x+2)^2 = 3^2 =( -3)^2
TH1 (x+2)^2 = 3^2 TH2 (x+2)^2 = (-3)^2
x+2 = 3 => x =1 x+2 = -3 => x= -5
Vậy x=1 hoặc x= -5 CHÚC BẠN HOK TỐT