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\(1,x^2-x=0\)
\(\Leftrightarrow x\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
\(2,\left(x+2\right)\left(x-3\right)-x-2=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-3\right)-\left(x+2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+2=0\\x-4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-2\\x=4\end{cases}}\)
\(3,36x^2-49=0\)
\(\Leftrightarrow\left(6x\right)^2-7^2=0\)
\(\Leftrightarrow\left(6x-7\right)\left(6x+7\right)=0\)
\(\Rightarrow\orbr{\begin{cases}6x-7=0\\6x+7=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{7}{6}\\x=\frac{7}{6}\end{cases}}\)
Chúc bn học giỏi nhoa!!!
Ta có : x2 - x = 0
=> x(x - 1) = 0
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
Lớp 8 nên sử dụng hằng đẳng thức
(=) X3 +3x2 +y3+5y2-x3-y3=0
(
b)(2x - 1)^2 - (2x + 5) (2x - 5 ) = 18
4x 2 -4x+1-4x 2+25=18
26-4x=18
4x=8
x=2
a,27x-18=2x-3x^2
<=> 3x^2-2x+27-18x=0
<=> 3x^2-20x+27=0
\(\Delta\)= 20^2-4-12.27
tính \(\Delta\)rồi tìm x1 ,x2
\(b,\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(\Leftrightarrow x^3+8-x^3-2x=15\)
\(\Leftrightarrow-2x=15-8=7\)
\(\Leftrightarrow x=\frac{-7}{2}\)
Vậy \(x=\frac{-7}{2}\)
a/ \(\left(x-4\right)^2-36=0\)
<=> \(\left(x-4-6\right)\left(x-4+6\right)=0\)
<=> \(\left(x-10\right)\left(x+2\right)=0\)
<=> \(\orbr{\begin{cases}x-10=0\\x+2=0\end{cases}}\)<=> \(\orbr{\begin{cases}x=10\\x=-2\end{cases}}\)
b/ \(\left(x+8\right)^2=121\)
<=> \(\left(x+8\right)^2-121=0\)
<=> \(\left(x+8-11\right)\left(x+8+11\right)=0\)
<=> \(\left(x-3\right)\left(x+19\right)=0\)
<=> \(\orbr{\begin{cases}x-3=0\\x+19=0\end{cases}}\)<=> \(\orbr{\begin{cases}x=3\\x=-19\end{cases}}\)
d/ \(4x^2-12x+9=0\)
<=> \(\left(2x\right)^2-2.2x.3+3^2=0\)
<=> \(\left(2x-3\right)^2=0\)
<=> \(2x-3=0\)
<=> \(x=\frac{3}{2}\)
Pt tương đương:
\(2x^2+3\left(x^2-1\right)=5x^2+5x\)
\(\Leftrightarrow2x^2+3x^2-3=5x^2+5x\)
\(\Leftrightarrow5x=-3\)
\(\Leftrightarrow x=-\frac{3}{5}\)
Vậy pt có nghiệm là :\(x=-\frac{3}{5}\)
1)
\(27+(x-3)(x^2+3x+9)=-x\)
\(\Leftrightarrow 27+(x^3-3^3)=-x\)
\(\Leftrightarrow x^3=-x\)
\(\Leftrightarrow x^3+x=0\Leftrightarrow x(x^2+1)=0\)
\(\Rightarrow \left[\begin{matrix} x=0\\ x^2+1=0(vl)\end{matrix}\right.\)
Vậy $x=0$
2)
\(-4(x+2)-7(2x-1)+9(4-3x)=30\)
\(\Leftrightarrow -4x-8-14x+7+36-27x=30\)
\(\Leftrightarrow -45x+35=30\Leftrightarrow -45x=-5\)
\(\Rightarrow x=\frac{-5}{-45}=\frac{1}{9}\)
3)
\(x^2-4x+4=0\)
\(\Leftrightarrow x^2-2.2x+2^2=0\)
\(\Leftrightarrow (x-2)^2=0\Rightarrow x-2=0\Rightarrow x=2\)
4)
\((x-1)(x^2+x+1)-x(x+2)(x-2)=5\)
\(\Leftrightarrow (x^3-1^3)-x[(x+2)(x-2)]=5\)
\(\Leftrightarrow x^3-1-x(x^2-2^2)=5\)
\(\Leftrightarrow x^3-1-x^3+4x=5\)
\(\Leftrightarrow 4x-1=5\Rightarrow 4x=6\Rightarrow x=\frac{6}{4}=\frac{3}{2}\)
\(2x\left(3x-5\right)-\left(5-3x\right)=0\)
\(\Leftrightarrow\)\(2x\left(3x-5\right)+\left(3x-5\right)=0\)
\(\Leftrightarrow\)\(\left(3x-5\right)\left(2x+1\right)=0\)
=> 3x - 5 = 0 hoặc 2x + 1 = 0
<=> 3x = 5 <=> 2x = -1
<=> x = \(\frac{5}{3}\) <=> x = \(\frac{-1}{2}\)
k mình nha bạn
Ta có : (x + 2)(x - 3) - x - 2 = 0
=> (x + 2)(x - 3) - (x + 2) = 0
=> (x + 2) (x - 3 - 1) = 0
=> (x + 2) (x - 4) = 0
\(\Rightarrow\orbr{\begin{cases}x+2=0\\x-4=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=4\end{cases}}\)
Vậy x = {-2;4}
cái số 0 ở cuối là j z bn