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Can anyone solve for this equation? (x^2 - 3x + 2)(x^2 -7x +12) = 0

Răspuns :

[tex]\it (x^2-3x+2)(x^2-7x+12)=0 \Rightarrow \begin{cases} \it x^2-3x+2=0\ \ \ \ \ \ \ (1)\\ sau\\ \it x^2-7x+12=0\ \ \ \ \ \ \ (2)\end{cases}\\ \\ \\ (1) \Rightarrow x^2-x-2x+2=0 \Rightarrow x(x-1)-2(x-1)=0 \Rightarrow (x-1)(x-2)=0 \Rightarrow \\ \\ \Rightarrow x_1=1,\ \ \ x_2=2\\ \\ \\ (2) \Rightarrow x^2-3x-4x+12=0 \Rightarrow x(x-3)-4(x-3)=0 \Rightarrow (x-3)(x-4)=0 \Rightarrow \\ \\ \Rightarrow x_3=3,\ \ \ x_4=4[/tex]