\(a.3x+27=9\)
\(3x=9-27\)
\(3x=-18\)
\(x=\left(-18\right)\div3\)
\(x=-6\)
Vậy \(x=-6\)
\(b.2x+12=3\left(x-7\right)\)
\(2x+12=3x-21\)
\(2x-3x=-12-21\)
\(-x=-33\)
\(x=33\)
Vậy \(x=33.\)
\(c.2x^2-1=49\)
\(2x^2=49+1\)
\(2x^2=50\)
\(x^2=50\div2\)
\(x^2=25\)
\(x^2=5^2=\left(-5\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=-5\end{matrix}\right.\)
Vậy \(x\in\left\{\pm5\right\}\)
\(d.\left|-9-x\right|-5=12\)
\(\left|-9-x\right|=12+5\)
\(\left|-9-x\right|=17\)
\(\Rightarrow\left[{}\begin{matrix}-9-x=17\\-9-x=-17\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-26\\x=8\end{matrix}\right.\)
Vậy \(x\in\left\{-26;8\right\}\)
a) 3x + 27 = 9
\(\Leftrightarrow\) 3x = 9-27
\(\Leftrightarrow\) 3x = -18
\(\Leftrightarrow\) x = (-18) : 3
\(\Leftrightarrow\) x = -6.
Vậy x = -6.
b) 2x + 12 = 3
\(\Leftrightarrow\) 2x = 3 - 12
\(\Leftrightarrow\) 2x = -9.
\(\Leftrightarrow\) x = (-9) : 2
\(\Leftrightarrow\) x = -4,5.
Vậy x = -4,5
c) 2x2 - 1 = 49
\(\Leftrightarrow\) 2x2 = 49 + 1
\(\Leftrightarrow\) 2x2 = 50
\(\Leftrightarrow\) x2 = 50 : 2
\(\Leftrightarrow\) x2 = 25
\(\Leftrightarrow\) x2 = 52
\(\Leftrightarrow\) x = 5.
Vậy x = 5.
d) |-9 - x| - 5 = 12
\(\Leftrightarrow\) |-9 - x| = 12 + 5
\(\Leftrightarrow\) |-9 - x| = 17.
\(\Rightarrow\) (-9) - x = 17 hoặc (-9) - x = -17
+) (-9) - x = 17 +) (-9) - x = -17
\(\Leftrightarrow\) x = (-19) - 17 \(\Leftrightarrow\) x = (-9) + 17
\(\Leftrightarrow\) x = -26. \(\Leftrightarrow\) x = 8.
Vậy x = -26 hoặc x = 8.
Chúc bạn học tốt !!!
a) 3x + 27 = 9
3x = 9 - 27
3x = -18
\(x=-\frac{18}{3}\)
x = -6
Vậy x = -6
b) 2x + 12 = 3(x - 7)
2x + 12 = 3x - 21
2x - 3x = -21 - 12
-x = -33
x = 33
Vậy x = 33
c) 2x2 - 1 = 49
2x2 = 49 + 1
2x2 = 50
\(x^2=\frac{50}{2}\)
x2 = 25
x = 5 hoặc x = -5
Vậy x = 5; x = -5
d) |-9 - x| - 5 = 12
|-9 - x| = 12 + 5
|-9 - x| = 17
\(\Rightarrow\) -9 - x = 17 và -9 - x = -17
*) -9 - x = 17
-x = 17 + 9
-x = 26
x = -26
*) -9 - x = -17
-x = -17 + 9
-x = -8
x = 8
Vậy x = 8; x = -26