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\(\sqrt{36}+x=6^2+7^5\)
\(\Rightarrow6+x=6^2+7^5\)
\(\Rightarrow x=6^2+7^5-6\)
\(\sqrt{36}+x=6^2+7^5\)
\(\Leftrightarrow\)\(6+x=36+16807\)
\(\Leftrightarrow\) \(6+x=16843\)
\(\Leftrightarrow\) \(x=16843-6\)
\(\Leftrightarrow\) \(x=16837\)
~ chúc bn học tốt ~
Minh AnNgọc HnueBăng Băng 2k6Thảo PHồ Đđề bài khó wáỖ CHÍ DŨNGBảo TrâmhLương Minh HằngươngAnh Qua
c/
\(=1-\frac{11}{14}-\frac{14}{12}+\frac{5}{6}+\frac{-5}{3}:\frac{-10}{3}\)
\(=1-\frac{11}{14}-\frac{14}{12}+\frac{5}{6}+\frac{-5}{3}.\frac{-3}{10}\)
\(=1-\frac{11}{14}-\frac{14}{12}+\frac{5}{6}+\frac{1}{2}\)
\(=1-\left(\frac{66}{84}+\frac{98}{84}-\frac{70}{84}-\frac{42}{84}\right)\)
Bài 3 :
\(\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+...+\dfrac{1}{2023!}\)
\(\dfrac{1}{2!}=\dfrac{1}{2.1}=1-\dfrac{1}{2}< 1\)
\(\dfrac{1}{3!}=\dfrac{1}{3.2.1}=1-\dfrac{1}{2}-\dfrac{1}{3}< 1\)
\(\dfrac{1}{4!}=\dfrac{1}{4.3.2.1}< \dfrac{1}{3!}< \dfrac{1}{2!}< 1\)
.....
\(\)\(\dfrac{1}{2023!}=\dfrac{1}{2023.2022....2.1}< \dfrac{1}{2022!}< ...< \dfrac{1}{2!}< 1\)
\(\Rightarrow\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+...+\dfrac{1}{2023!}< 1\)
5) \(\left(-2\right)^2+\sqrt{36}-\sqrt{9}+\sqrt{25}\)
=\(4+6-3+5\)
=\(12\)
2) \(\dfrac{11}{25}.\left(-24,8\right)-\dfrac{11}{25}.75,2\)
=\(\dfrac{11}{25}.\left(-24,8-75,2\right)\)
=\(\dfrac{11}{25}.\left(-100\right)\)
=\(-44\)
1. a) x^2=16=>x=+_4
b)x^2=36=>x=+_6
c)x^2=49=>x=+_7
d) x-1=+_5
+) x-1=5
=>x=6
+)x-1=-5
=>x=-4
e) (x+3)^2=-1( vô lý)
ko cs gtri của x
f) (2x+7)^2=36=>2x+7=+_6
+) 2x+7=6
x=-1/2
+) 2x+7=-6
=>x=-13/2
Ta có : \(36-\left(x+6\right)^2=\left(\sqrt{11}\right)^2=11\)
\(\Leftrightarrow36-\left(x+6\right)\left(x+6\right)=11\)
\(\Leftrightarrow x^2+12x+36=25\)
\(\Leftrightarrow x^2+12x+11=0\)
\(\Leftrightarrow x^2+x+11x+11=0\)
\(\Leftrightarrow x\left(x+1\right)+11\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+11\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-11\end{matrix}\right.\)
Vậy ...
Ta có: \(36-\left(x+6\right)^2=\left(\sqrt{11}\right)^2\)
\(\Leftrightarrow36-x^2-12x-36=11\)
\(\Leftrightarrow-x^2-12x-11=0\)
\(\Leftrightarrow x^2+12x+11=0\)
\(\Leftrightarrow x^2+x+11x+11=0\)
\(\Leftrightarrow x\left(x+1\right)+11\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+11\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\\x+11=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-11\end{matrix}\right.\)
vậy: S={-1;-11}