Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 7x2 - (2x+3)(3x+4)= x(x+5)
=> 7x2 - 6x2 - 8x - 9x - 12 - x2 - 5x = 0
=> -22x - 12= 0
=> -22x= 12
=> x= -12/22= -6/11
Vậy x= -6/11
b) x2 + 2x + 1 - x2 + 7x= 0
=> 9x +1 = 0
=> 9x= -1
=> x= -1/9
Vậy x= -1/9
(x+1)2-(x+1)=0
<=> (x+1)2 hoặc x+1=0
(x+1)2=0 => x=-1
x+1=0 => x=-1
Vậy x=-1
b) 5x2-13x=0
x(5x-13)=0
<=> x=0 hoặc 5x-13=0
5x-13=0 => 5x=13 => x=13/5
Vậy x=13/5
c) x2-7x3=0
<=> x(x-7x2)=0
=> x=0 hoặc
a, \(x^3-7x=0\Leftrightarrow x^2\left(x-7\right)=0\)
\(\left(+\right)x^2=0\Leftrightarrow x=0\)
\(\left(+\right)x-7=0\Leftrightarrow x=7\)
Vậy \(x=0;x=7\)
\(b,\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=0\)
\(\Leftrightarrow x^3+8-x^3-2x=0\)
\(\Leftrightarrow8-2x=0\)
\(\Leftrightarrow x=4\)
Vậy x=4
a) \(x^2-2x=0\)
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}}\)
b) \(x^2-7x+12=0\)
\(x^2-4x-3x+12=0\)
\(\left(x^2-3x\right)-\left(4x-12\right)=0\)
\(x\left(x-3\right)-4\left(x-3\right)=0\)
\(\left(x-4\right)\left(x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-4=0\\x-3=0\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\x=3\end{cases}}}\)
a) \(x^2-2x=0\)
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
b) \(x^2-7x+12=0\)
\(x^2-3x-4x+12=0\)
\(\left(x^2-3x\right)-\left(4x-12\right)=0\)
\(x\left(x-3\right)-4\left(x-3\right)=0\)
\(\left(x-3\right)\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x-4=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=3\\x=4\end{cases}}\)
x2 + 7x + \(\frac{49}{4}\) - \(\frac{23}{4}\) = 0
<=> x2 + 7x + \(\frac{49}{4}\) = \(\frac{23}{4}\)
<=> (x + \(\frac{7}{2}\))2 = \(\frac{23}{4}\)
Tự gải tiếp
\(x^2+7x+5=0\)
\(x^2+2.x.\frac{7}{2}+\left(\frac{7}{2}\right)^2-\frac{29}{4}=0\)
\(\left(x+\frac{7}{2}\right)^2-\left(\frac{\sqrt{29}}{2}\right)^2=0\)
\(\left(x+\frac{7}{2}-\frac{\sqrt{29}}{2}\right)\left(x+\frac{7}{2}+\frac{\sqrt{29}}{2}\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{7}{2}-\frac{\sqrt{29}}{2}=0\\x+\frac{7}{2}+\frac{\sqrt{29}}{2}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{\sqrt{29}-7}{2}\\x=-\frac{\sqrt{29}+7}{2}\end{cases}}}\)
Vậy \(\Rightarrow\orbr{\orbr{\begin{cases}x=\frac{\sqrt{29}-7}{2}\\x=-\frac{\sqrt{29}+7}{2}\end{cases}}}\)