at first a₀s₁+a₁= 0 here s₁ is sum of root  meas x₁+x₂+x₃ ad   s2 meas x₁²+x₂²+x₃² so here a₀=1 a₁=0,a₂=3,a₃=3 first we will calculate s₁

s₁=0, similarly a₀s₂+a₁s₁+2a₂= 0 so s₂ +6=0, so s₂ = - 6 similarly

a₀s₃+a₁s₂+a₂s₁+3a₃= 0 so s₃= - 9 for calculatig s₄ we multiply this equatio

x. we get x⁴+3x²+3x=0

s₄+3s₂+3s=0 we get s₄+3(-6)+0=0 we get  s₄=18

similarly multiply eq  x² we get x⁵+3x³+3x²=0 we get s₅+3s₃+3s₂= 0 we get

s₅+3(-9)+3(-6)=0

s₅=27+18 = 45