Zadanie 3 Rozwiąż równanie. A. ( x-4)²(2x-7)=(x-4)(2x-7)² B. 2x^5 - 3x³ - 2x² +3=0 C. x³(2x-5)-x³=0 D. x^5 - 2x³+3x²-6=0
źródło:
A. ( x-4)²(2x-7)=(x-4)(2x-7)² B. 2x^5 - 3x³ - 2x² +3=0 C. x³(2x-5)-x³=0 d) x^5 - 2x^3+3x^2-6=0
x^3(x^2-2)-3(x^2-2)=0
(x^2-2)(x^3-3)=0
[x^2-(\sqrt2)^2] (x^3-3)=0
(x-\sqrt3)(x+\sqrt3)(x^3-3)=0
x-\sqrt3=0\vee x+\sqrt3=0 \vee x^3-3=0
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