a1+a2+a3=15 a1•a2•a3=80 Найдите a1 ,a2,a3. Created by shohalilovshohr. algebra-ru

a1+a2+a3=15 a1•a2•a3=80 Найдите a1 ,a2,a3...

shohalilovshohr @shohalilovshohr

July 2022 1 14 Report

a1+a2+a3=15
a1•a2•a3=80
Найдите a1 ,a2,a3

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sangers1959

Verified answer

A₁+a₂+a₃=15 a₁+a₁+d+a₁+2d=15 3a₁+3d=15 a₁+d=5 d=5-a₁
a₁*a₂*a₃=80   a₁*(a₁+d)*(a₁+2d)=80 a₁*(a₁+5-a₁)*(a₁+10-2a₁)=80
a₁*5*(10-a₁)=80
a₁*(10-a₁)=16
10a₁-a₁²-16=0   |÷(-1)
a₁²-10a₁+16=0   D=36
a¹₁=8    d¹=-3
a²₁=2    d²=3

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