\(\Leftrightarrow\left(x^2-4\right)\left(x^2-10\right)=72\)
Đặt \(x^2-4=t\)
\(\Rightarrow t\left(t-6\right)=72\)
\(\Leftrightarrow t^2-6t-72=0\Rightarrow\left[{}\begin{matrix}t=12\\t=-6\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x^2-4=12\\x^2-4=-6\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x^2=16\\x^2=-2< 0\left(vn\right)\end{matrix}\right.\)
\(\Rightarrow x=\pm4\)
Giải PT \(\left(x-2\right)\left(x+2\right)\left(x^2-10\right)=72\)
Giải phương trình:\(\left(x+2\right)\times\left(x-2\right)\times\left(x^2-10\right)=72\)
Giải phương trình sau: \(\left(x-2\right)\left(x+2\right)\left(x^2-10\right)=72\)
Giải pt
\(\left(x+2\right)\left(x-3\right)+3=\left(x-4\right)\left(x+2\right)-7\)
Giải các phương trình:
\(a,8x^2-\left(4x+3\right)^3+\left(2x+3\right)^3=0\)
b, \(\left(x-2\right)\left(x+2\right)\left(x^2-10\right)=72\)
giải pt
\(a,\left(x^2-5x\right)^2+10\left(x^2-5x\right)+24=0\)
\(b,\left(x-4\right)\left(x-5\right)\left(x-6\right)\left(x-7\right)=1680\)
\(c,\left(x+1\right)^4+\left(x-1\right)^4=82\)
d,\(\left(4-x\right)^5+\left(x+2\right)^5=32\)
giải pt: a)\(\left(x^2-3x\right)\left(x^2+7x+10\right)=216\) b)\(\left(2x^2-7x+3\right)\left(2x^2+x-3\right)+9=0\) c)\(\frac{1}{\left(x+29\right)^2}+\frac{1}{\left(x+30\right)^2}=\frac{13}{36}\)
\(\left(x-2\right)\left(x+2\right)\left(x^2-10\right)=72\)
Giải PT sau
\(\left(x^2-4x\right)+\left(x-2\right)^2=10\)
\(x^2+\dfrac{1}{x^2}=x+\dfrac{1}{x}\)
\(x\left(x+1\right)\left(x+2\right)\left(x+3\right)=24\)
e,\(\left(x^2+x+1\right)^2-2x^2-2x=5\)
Giải pt
