?????

H

hiendang241

sdfgsdfgdfghjk

x(x-1)(x+1)(x+2)=24\Leftrightarrowx(x+1)(x-1)(x+2)=24
\Leftrightarrow(x^2+x)(x^2+x-2)=24

đặt x^2+x=a ta đc
a(a-2)=24\Leftrightarrow (a-1)^2=25
\Leftrightarrow a-1=5 hoặc a-1=-5
\Leftrightarrow a=6 hoặc a=-4
khi đó x^2+x=6 hoăc x^2+x=-4(pt n ày vô No)
khi đó x=2 hoặc x=-3
 
Last edited by a moderator:
N

nhuquynhdat

$4x^2-12x+5=0$

\Rightarrow $4x^2-2x-10x+5=0$

\Rightarrow $(2x-1)(2x-5)=0$

\Rightarrow $\left[\begin{matrix} x=\dfrac{1}{2}\\ x=\dfrac{5}{2}\end{matrix}\right.$




$x(x-1)(x+1)(x+2)=24$

\Rightarrow $x(x+1)(x-1)(x+2)-24=0$

\Rightarrow $(x^2+x)(x^2+x-2)-24=0$

Đặt $x^2+x=t$

\Rightarrow $t(t-2)-24=0$

\Rightarrow $t^2-2t-24=0$

\Rightarrow $t^2-6t+4t-24=0$

\Rightarrow $(t-6)(t+4)=0$

\Rightarrow $(x^2+2-6)(x^2+2+4)=0$

\Rightarrow $(x-2)(x+3)(x^2+x+4)=0$

Do $x^2+x+4>0$

\Rightarrow $\left[\begin{matrix} x-2=0\\ x+3=0\end{matrix}\right.$

\Rightarrow $\left[\begin{matrix} x=2\\ x=-3\end{matrix}\right.$
 
Last edited by a moderator:
Top Bottom