Algebraning asosiy teoremasi quyidagicha tasniflanadi: Darajasi nolga teng bo'lmagan ixtiyoriy f(x) $$\in$$ C(x) ko'phad kamida 1 ta kompleks ildizga ega.

Uchinchi darajali tenglamani Kardano formulasi yordamida yeching

$$x^3+3x-2i=0$$

$$x^3+9x-26=0$$

Berilgan uchinchi darajali tenglamani Kardano formulasi yordamida yeching

$$\left(-\frac{1}{2}+\frac{i\sqrt[]{3}}{2}\right)^3$$ ni hisoblang

$$\frac{\left(-1+i\sqrt[]{3}\right)^{15}}{\left(1-i\right)^{20}}+\frac{\left(-1-\iota\sqrt[]{3}\right)^{15}}{\left(1+\iota\right)^{20}}^{ }$$ ni hisoblang

$$x^4-6x^3+10x^2-2x-3=0$$ To'rtinchi darajali tenglamani Ferrari usulida yeching

$$x^4-2x^3+4x^2+2x-5=0$$

berilgan to'rtinchi darajali tenglamaning yechimi 1,-1,1+i va 1-i

$$x^5+5x^4+9x^3+7x^2+5x+3$$ va $$x^4+2x^3+2x^2+x+1$$ ko'phadlarning EKUB i qaysi javobda berilgan?

$$x^5+x^4-x^3-3x^2-3x-1$$ va $$x^4-2x^3-x^2-2x+1$$ ko'phadlarning EKUBini toping

$$f\left(x\right)=x^4+4x^3-2x^2-12x+9\$$ ko'phadning butun va ratsional ildizlarini toping

$$\iota^{4k}$$ ning qiymatini toping

$$\iota^{4k}\times\iota^3$$ ning qiymatini toping