tim x, biet
a. x + 7 = 15
b. 3 nhan - 14 = 16
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a: \(\left(x+5\right)^2>=0\forall x\)
\(\left(2y-8\right)^2>=0\forall y\)
Do đó: \(\left(x+5\right)^2+\left(2y-8\right)^2>=0\forall x,y\)
Dấu '=' xảy ra khi \(\left\{{}\begin{matrix}x+5=0\\2y-8=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=-5\\y=4\end{matrix}\right.\)
b: \(\left(x+3\right)\left(2y-1\right)=5\)
=>\(\left(x+3\right)\left(2y-1\right)=1\cdot5=5\cdot1=\left(-1\right)\cdot\left(-5\right)=\left(-5\right)\cdot\left(-1\right)\)
=>\(\left(x+3;2y-1\right)\in\left\{\left(1;5\right);\left(5;1\right);\left(-1;-5\right);\left(-5;-1\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(-2;3\right);\left(2;1\right);\left(-4;-2\right);\left(-8;0\right)\right\}\)
Lời giải đầy đủ:
Bài 3:tìm x
A,
6.(x+9845)=29042.6
(x+9845)=29042.6:6
x+9845=29042
x=29042-9845
x=19197.
B,
(x:3).8=8.3198
(x:3)=3198.8:8
x:3=3198
x=3198.3
x=9594.
Bài 7:
A/191+x+9=43.5
200+x=215
x=215-200
x=15.
B/x.25.4=125.8
x.100=1000
x=1000:100
x=10.
Bài 8:
A/ 128.x-12.x-16.x=5208000
(128-12-16).x=5208000
100.x=5208000
x=5208000:100
x=52080.
B/ x.27+x.30+x.43=210500
x.(27+30+43)=210500
x.100=210500
x=210500:100
x=2105.
K mình nhé!
Lời giải:
a. $21-2(x+6)=15$
$2(x+6)=21-15=6$
$x+6=6:2=3$
$x=3-6=-3$
b.
$3^{x+1}=27=3^3$
$\Rightarrow x+1=3$
$\Rightarrow x=2$
c.
$14-x=36$
$x=14-36=-22$
d.
$-3x+25=-2$
$-3x=-2-25=-27$
$x=(-27):(-3)=9$
e.
$37-2(x+6)=29$
$2(x+6)=37-29=8$
$x+6=8:2=4$
$x=4-6=-2$
h.
$2^{x-1}=16=2^4$
$x-1=4$
$x=4+1=5$
Câu 30:
\(\dfrac{x+1}{8}=\dfrac{2}{x+1}\)
=>\(\left(x+1\right)^2=2\cdot8=16\)
=>\(\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
=>Chọn D
Câu 31:
\(-\dfrac{7}{15}\cdot\dfrac{5}{8}\cdot\dfrac{15}{-7}\cdot\left(-16\right)\)
\(=\dfrac{5}{8}\cdot\left(-16\right)=-10\)
=>Chọn D
\(a,\frac{9}{14}\cdot y=\left[\frac{5}{7}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\left[\frac{10}{14}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{1}{2}\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{2}{7}\)
\(\Rightarrow y=\frac{2}{7}:\frac{9}{14}=\frac{2}{7}\cdot\frac{14}{9}=\frac{2}{1}\cdot\frac{2}{9}=\frac{4}{9}\)
\(\Leftrightarrow y=\frac{4}{9}\)
b, tương tự
x + 7 = 15
x = 15 - 7
x = 8
3. x - 14 = 16
3. x = 16 + 14
3. x = 30
x = 30 : 3
x = 10
a. x + 7 = 15
=> x = 15 - 7
=> x = 8
b. 3x - 14 = 16
=> 3x = 16 + 14
=> x = 30 / 3
=> x = 10