(1/2-1/3).6^x+ 6^x+2 = 6^7 + 6^4
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a \(\Leftrightarrow3x=12\Leftrightarrow x=4\)
b \(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{3}{2}\end{matrix}\right.\)
c \(ĐKXĐ:x\ne2;x\ne-2\)
\(\Rightarrow\left(x+2\right)^2-6\left(x-2\right)=x^2\Leftrightarrow x^2+4x+4-6x+12=x^2\Leftrightarrow-2x+16=0\Leftrightarrow-2x=-16\Leftrightarrow x=8\left(TM\right)\)
a) Ta có: 3x-12=0
\(\Leftrightarrow3x=12\)
hay x=4
Vậy: S={4}
b) Ta có: (x-2)(2x+3)=0
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{-3}{2}\end{matrix}\right.\)
Vậy: \(S=\left\{2;\dfrac{-3}{2}\right\}\)
1, Ta có :
\(x+\frac{3}{5}=\frac{4}{7}\div\frac{8}{21}\)
\(x+\frac{3}{5}=\frac{4}{7}\times\frac{21}{8}\)
\(x+\frac{3}{5}=\frac{3}{2}\)
\(x=\frac{3}{2}-\frac{3}{5}\)
\(x=\frac{15}{10}-\frac{6}{10}\)
\(x=\frac{9}{10}\)
Vậy x = \(\frac{9}{10}\)
2, Ta có :
\(\frac{2}{3}+\frac{3}{4}\div x=-\frac{1}{6}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{2}{3}\)
\(\frac{3}{4}\div x=-\frac{1}{6}-\frac{4}{6}\)
\(\frac{3}{4}\div x=-\frac{5}{6}\)
\(x=\frac{3}{4}\div\left(-\frac{5}{6}\right)\)
\(x=\frac{3}{4}\times\left(-\frac{6}{5}\right)\)
\(x=-\frac{9}{10}\)
Vậy x = \(-\frac{9}{10}\)
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times2\times3}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{1}{3}\times\frac{4}{1}\)
\(=\frac{1}{2}+\frac{1\times4}{3\times1}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
Theo ý e bảo chỉ làm 3 dòng thôi nên a rút gọn phép tính lại:
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
a) 6/7 - 3/6 = 21/42 - 21/42 = 15/42
b) 2/5 x 4/7 = 8/35
c) 3/10 : 6/10 = 3/10 x 10/6 = 1/2
d) 5/9 + 3/4 = 32/36 = 8/9
e) 1/3 : 6 = 1/3 x 1/6 = 1/18
g) 3 x 2/5 = 6/5
h) 6/7 + 4/21 = 22/21
k cho mk nhé!
1.
2|x-6|+7x-2=|x-6|+7x
2|x-6| - |x-6|=7x-(7x-2)
|x-6| = 2
=>x-6 = +2
*x-6=2 *x-6 = -2
x =2+6 x = (-2)+6
x =8 x = 4
2.
|x-5|-7(x+4)=5-7x
|x-5|-7x-28 =5-7x
|x-5|-28 =5-7x+7x
|x-5|-28 = 5
|x-5| = 5+28
|x-5| = 33
=>x-5 = +33
*x-5=33 *x-5=-33
x =38 x = -28
3.
3|x+4|-2(x-1)=7-2x
3|x+4|-2x+2 =7-2x
3|x+4|-2 =7-2x+2x
3|x+4|-2 =7
3|x+4| =7+2
3|x+4| = 9
|x+4| =9:3
|x+4| = 3
=>x+4 = +3
*x+4=3 *x+4=-3
x =-1 x = -7