Question

rezolvati ecuatia x⁴-37x²+36=0

Answer 1

x⁴-37x²+36=0.Il sciem pe x²=y.Atunci obtinem: y²-37y+36=0. => y²-y-36y+36=0 => y(y-1)-36(y-1)=0 => (y-1)(y-36)=0.Obtinem :y-1=0=>y=1 si y-36=0=>y=36,Astfel x²=y,vine x²=1=>x=1.si x²=36=>x=6.