Tìm x biết
|5x-10|+10=5x
tìm x biết :
a) 2 . |5x-3| - 2x = 14
b) |3x-2| - x = 7
c) |4x+3| - x = 15
d) |3x-2| + 5x = 4x -10
e) |3x-2| + 5x = 4x-10
f) |2x-6| + 5x = 9
g) |5x-3| - x = 7
a) \(2.\left|5x-3\right|-2x=14\)
\(2\left|5x-3\right|=14+2x\)
\(\left|5x-3\right|=\frac{14+2x}{2}\)
\(\Rightarrow\orbr{\begin{cases}5x-3=\frac{-14-2x}{2}\\5x-3=\frac{14+2x}{2}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\left(5x-3\right).2=-14-2x\\\left(5x-3\right).2=14+2x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}10x-6+2x=-14\\10x-6-2x=14\end{cases}\Rightarrow\orbr{\begin{cases}12x=-14+6\\8x=14+6\end{cases}}}\Rightarrow\orbr{\begin{cases}12x=-8\\8x=20\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
vậy \(\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
Những câu sau tương tự nhé.
tìm x biết (4-2x)(5x-10)
\(\left(4-2x\right)\left(5x-10\right)=0\\ \Leftrightarrow2\left(2-x\right)5\left(x-2\right)=0\\ \Leftrightarrow-10\left(x-2\right)^2=0\Leftrightarrow x-2=0\Leftrightarrow x=2\)
\(\left(4-2x\right)\left(5x-10\right)=0\)
\(\Leftrightarrow x=2\)
Tìm x , biết : 5x= 10 √ x
\(5x=10\sqrt{x}\)
\(\Leftrightarrow5x=10\cdot x^{\frac{1}{2}}\)
\(\Leftrightarrow x=2\cdot x^{\frac{1}{2}}\)
\(\Leftrightarrow x^{\frac{1}{2}}=2\)
\(\Leftrightarrow\sqrt{x}=2\)
\(\Leftrightarrow\sqrt{x^2}=2^2\)
\(\Leftrightarrow x=4\)
Vậy x=4.
\(5x=10\sqrt{x}\)
\(\Rightarrow5\left(\sqrt{x}\right)^2=5.2\sqrt{x}\)
\(\Rightarrow\left(\sqrt{x}\right)^2=2\sqrt{x}\)
\(\Rightarrow\left(\sqrt{x}\right)^2-2\sqrt{x}=0\)
\(\Rightarrow\sqrt{x}\left(\sqrt{x}-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}\sqrt{x}=0\\\sqrt{x}-2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\\sqrt{x}=2\end{cases}\Rightarrow}\orbr{\begin{cases}x=0\\x=4\end{cases}}}\)
Vậy \(\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
Tìm x biết: 5x(3x^2y-2xy^2+1)-3xy(5x^2-3xy)+x^2y^2-10=0 Giúp em với đang cần gấp
\(5x\left(3x^2y-2xy^2+1\right)-3xy\left(5x^2-3xy\right)+x^2y^2-10=0\)
\(\Leftrightarrow15x^3y-10x^2y^2+5x-15x^3y+9x^2y^2+x^2y^2-10=0\)
\(\Leftrightarrow5x=10\Leftrightarrow x=2\)
tìm x ϵ Z biết | x + 1| + |x - 2| + |x + 7| = 5x - 10
+TH1:\(x\le-7\)
Ta có: \(-x-1-x+2-x-7=5x-10\Rightarrow x=\dfrac{1}{2}\) (loại)
+TH2: \(-7\le x\le-1\)
Ta có: \(-x-1-x+2+x+7=5x-10\Rightarrow x=3\)(loại)
+TH3: \(-1\le x\le2\)
Ta có: \(x+1-x+2+x+7=5x-10\Rightarrow x=5\)(loại)
+TH4: \(x>2\)
Ta có: \(x+1+x-2+x+7=5x-10\Rightarrow x=8\)(tm)
Vậy x=8
cho y = 5x , biết y = 10 . Tìm x?
Tìm x biết :
5x + 15 = 10
5x + 15 = 10
<=> 5(x+3) = 5.2
<=> x+3 =2
<=> x = 2-3
<=> x = -1
Vậy x = -1 thì thỏa 5x + 15 = 10
\(5x+15=10\)
\(\Rightarrow5.\left(x+3\right)=5.2\)
\(\Rightarrow x+3=2\)
\(\Rightarrow x=2-3\)
\(\Rightarrow x=-1\)
Vậy \(x=-1\)
Chúc bạn học tốt !!!
5x + 15 = 10
5x = 10 - 15 = -5
x = -5 : 5
x = -1
Tìm x, biết (6x − 4) + (5x − 3) + (4x - 10) = 9
\(6x-4+5x-3+4-10=9\)
\(6x+5x+4x=9+4+3+10\)
\(15x=26\)
\(x=\dfrac{26}{15}\)
\(6x-4+5x-3+4x-10-9=0\)
\(15x-26=0\)
\(x=\dfrac{26}{15}\)
Tìm x biết
5x + 3*(10 - x) + x = 45
5x+3.(10-x)+x=45
5x+30-3x+x=45
3x+30=45
3x =15
x = 5
\(5x+30-3x+x=45\Rightarrow3x+30=45\Rightarrow x=5\)