Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\Leftrightarrow x^2-5x-2x+10=0\)
\(\Leftrightarrow x\left(x-5\right)-x\left(x-5\right)=0\)
\(\Leftrightarrow\left(x-5\right)\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\x-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=2\end{cases}}}\)
Vậy \(x=5\)hoặc \(x=2\)
b) \(\Leftrightarrow\left(6x\right)^2-7^2=0\)
\(\Leftrightarrow\left(6x+7\right)\left(6x-7\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}6x=-7\\6x=7\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{-7}{6}\\x=\frac{7}{6}\end{cases}}\)
Vậy \(x=\frac{-7}{6}\)hoặc \(x=\frac{7}{6}\)
a, x2-7x+10=0
<=> x2-2x-5x+10=0
<=> x.(x-2)-5.(x-2)=0
<=> (x-2).(x-5)=0
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x-5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=5\end{cases}}}\)
b, 36x2-49=0
<=> (6x)2-72=0
<=> (6x-7).(6x+7)=0
\(\Leftrightarrow\orbr{\begin{cases}6x-7=0\\6x+7=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{6}\\x=-\frac{7}{6}\end{cases}}\)
a)x2-7x+10=0
\(\Leftrightarrow x^2-2x-5x+10=0\)
\(\Rightarrow x\left(x-2\right)-5\left(x-2\right)=0\)
\(\Rightarrow\left(x-5\right)\left(x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-5=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=2\end{matrix}\right.\)
Vậy \(x=5\) hoặc \(x=2\)
b) 36x2-49=0
\(\Leftrightarrow\left(6x\right)^2-7^2=0\)
\(\Rightarrow\left(6x+7\right)\left(6x-7\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}6x+7=0\\6x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}6x=-7\\6x=7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-7}{6}\\x=\dfrac{7}{6}\end{matrix}\right.\)
Vậy \(x=\dfrac{-7}{6}\) hoặc \(x=\dfrac{7}{6}\)
a) x2-7x+10=0
=> x2-2x-5x+10=0
=> x(x-2)-5(x-2)=0
=> x(x-2)=0 -> hoặc x =0 hoặc x-2=0-> x=2
hoặc -5(x-2)=0 -> x=2
vậy x= 0 hoặc x= 2
b) 36x2-49=0
=> (6x)2-72=0
=> (6x-7)(6x+7)=0
=>hoặc 6x-7=0 -> 6x=7 -> x=7:6
hoặc 6x+7=0->6x=-7-> x = 6:7
vậy x=7:6 hoặc x=6:7
a) (3x-5)2 - (x+1)2 =0
\(\Leftrightarrow\left(3x-5+x+1\right)\left[\left(3x-5\right)-\left(x-1\right)\right]=0\)
\(\Leftrightarrow\left(4x-4\right)\left(2x-6\right)=0\)
\(\Leftrightarrow8\left(x-1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x-1=0\\x-3=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x=3\end{array}\right.\)
b) 4x3 - 36x =0
\(\Leftrightarrow4x\left(x^2-9\right)=0\)
\(\Leftrightarrow4x\left(x-3\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}4x=0\\x-3=0\\x+3=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=0\\x=3\\x=-3\end{array}\right.\)
Tìm x biết
36x -\(x^2\)=0
<=> 36x = \(x^2\)
<=> 36 = \(x^2\) : x
<=> 36 = x
Hay x = 36.
Vay x = 36
36x - x2 = 0
⇔ x(36 - x2) = 0
⇔ x(62 - x2) = 0
⇔ x(6 - x)(6 + x) = 0
⇔ \(\left[{}\begin{matrix}x=0\\6-x=0\\6+x=0\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=0\\x=6\\x=-6\end{matrix}\right.\)
36x^2 - 49=0 =>(6x-7)(6x+7)=0
6x-7=0 =>x=7/6
6x+7=0=>x=-7/6
\(\left(6x\right)^2=7^2\)
6x=+-7
\(x=+-\frac{7}{6}\)