Question

Se considera [tex]f = X^{4} + a X^{3} + (a+3) X^{2} + 6X - 4
[/tex] care are coeficientii reali si radacinile lui $x_{1} ,x_{2},x_{3},x_{4}$∈R
a)Sa se determine $a$∈R , astfel incat $x_{1} +x_{2}+x_{3}+x_{4}=3$

Answer 1

x1+x2+x3+x4=$- \frac{b}{a}$ ceea ce inseamna ca x1+x2+x3+x4=a => a=3