giải hộ |x-9|=-2+7
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\(\left(2x+7\right)^2=9\left(x+2\right)^2\Leftrightarrow\left(2x+7\right)^2=3^2\left(x+2\right)^2\)
\(\Leftrightarrow2x+7=3\left(x+2\right)\Leftrightarrow2x+7=3x+2\). Chuyển vế :
\(\Leftrightarrow2x-3x=2-7\Leftrightarrow-x=-5\Leftrightarrow x=5\)
Vậy \(x=5\)
(x-1)^2=9
=> (x-1)^2 = 3^2
=> x-1= 3
=> x = 3 + 1
=> x =4
\(\left(x-1\right)^2=9\)
\(\Leftrightarrow\left(x-1\right)^2=3^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=3\\x-1=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3+1\\x=-1+3\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=4\\x=2\end{cases}}}\)
Vậy \(x=4\)hoặc \(x=2\)
\(\left(x-3\right)^3+15=7\)
\(\Leftrightarrow\left(x-3\right)^3=7-15\)
\(\Leftrightarrow\left(x-3\right)^3=-8\)
\(\Leftrightarrow\left(x-3\right)^3=\left(-2\right)^3\)
\(\Leftrightarrow x-3=-2\)
\(\Leftrightarrow x=-2+3\)
\(\Leftrightarrow x=1\)
Vậy \(x=1\)
Lần sau bạn chú ý viết đầy đủ đề.
1.
\(\sqrt{9+4\sqrt{5}-\sqrt{9-4\sqrt{5}}}=\sqrt{9+4\sqrt{5}-\sqrt{5-2\sqrt{4.5}+4}}\)
\(=\sqrt{9+4\sqrt{5}-\sqrt{(\sqrt{5}-\sqrt{4})^2}}=\sqrt{9+4\sqrt{5}-(\sqrt{5}-\sqrt{4})}\)
\(=\sqrt{9+4\sqrt{5}-\sqrt{5}+2}=\sqrt{11+3\sqrt{5}}\)
2.
\(\sqrt{8-2\sqrt{7}-\sqrt{8+2\sqrt{7}}}=\sqrt{8-2\sqrt{7}-\sqrt{7+2\sqrt{7}+1}}\)
\(=\sqrt{8-2\sqrt{7}-\sqrt{(\sqrt{7}+1)^2}}\)
\(=\sqrt{8-2\sqrt{7}-\sqrt{7}-1}=\sqrt{7-3\sqrt{7}}\)
\(\frac{3}{8}\left(x-\frac{2}{3}\right)-\frac{2}{9}\left(3x-\frac{1}{2}\right)=\frac{-7}{36}\)
\(\Rightarrow\frac{3}{8}x-\frac{1}{4}-\frac{2}{3}x+\frac{1}{9}=\frac{-7}{36}\Rightarrow\frac{-7}{24}x-\frac{5}{36}=\frac{-7}{36}\)
\(\Rightarrow\frac{-7}{24}x=\frac{-1}{3}\Rightarrow x=\frac{8}{7}\)
\(a,\dfrac{7}{12}+\dfrac{3}{4}\times\dfrac{2}{9}=\dfrac{7}{12}+\dfrac{1}{6}=\dfrac{7}{12}+\dfrac{2}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)
\(b,\dfrac{8}{9}-\dfrac{4}{15}:\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{4}{15}\times\dfrac{5}{2}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
1)5/7+7/9-2/3
=45/63+49/63-42/63
52/63
2)5/6 nhân 4/5 -17/30
=2/3-17/30
= 20/30-17/30
=3/10=1/10
3) 8/9:2/5-25/36
=8/9 nhân 5/2 -25/36
=20/9-25/36
=80/36-25/36
=55/36
6A=5.7.6+7.9.6+9.11.6+11.13.6+13.15.6+...+99.101.6
6A=5.7.(9-3)+7.9.(11-5)+9.11.(13-7)+11.13.(15-9)+13.15.(17-11)+...+99.101.(103-97)
6A=-3.5.7+5.7.9-5.7.9+7.9.11-7.9.11+9.11.13-9.11.13+11.13.15-11.13.15+13.15.17-...-97.99.101+99.101.103
6A=99.101.103-3.5.7 => A=(99.101.103-3.5.7)/6
-7+x = 15
=> x = 15-(-7) = 22
2.x-10 = -26
=> 2.x = -26+10 = -16
=> x = -16 : 2 = -8
|x+7| = 4
=> x+7=-4 hoặc x+7=4
=> x=-11 hoặc x=-3
(x-9).(3x+6) = 0
=> x-9=0 hoặc 3x+6=0
=> x=9 hoặc x=-2
Tk mk nha
1) Ta có: \(-7+x=15\)
\(\Rightarrow x=15-\left(-7\right)\)
\(\Rightarrow x=22\)
2) \(2x-10=-26\)
\(\Rightarrow2x=-26+10\)
\(\Rightarrow2x=-16\)
\(\Rightarrow x=-8\)
3) \(\left|x+7\right|=4\)
\(\Rightarrow x+7=\pm4\)
Nếu x + 7 = 4 thì x = -3
Nếu x + 7 = -4 thì x = -11
Vậy \(x=\left\{-3;-11\right\}\)
4) \(\left(x-9\right)\left(3x+6\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-9=0\\3x+6=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0+9\\3x=-6\end{cases}\Rightarrow}\orbr{\begin{cases}x=9\\x=-2\end{cases}}}\)
Vậy \(x=\left\{9;-2\right\}\)
=> |x-9| = 5
<=> x-9=5 hoặc x-9=-5
*Nếu x-9=5 thì x=5+9=14
*Nếu x-9=-5 thì x=-5+9=4
Vậy x={14;4}
HỌC TỐT !
thanks