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pechalnaya
@pechalnaya
July 2022
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Найти нули функции...........
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wiseminerva
Y=65/-(x^3-1) - (10-17x)/(x^2+x+1) - 25/(x-1)
y=-65/(x-1)(x^2+x+1) - (10-17x)/(x^2+x+1) - 25/(x-1)
y=-65/-(x-1)(x^2+x+1) - (x-1)(10-17x)/(x-1)(x^2+x+1) - 25(x^2+x+1)/(x-1)(x^2+x+1)
y=(-65-(10x-17x^2-10+17x)-(25x^2+25x+25))/(x-1)(x^2+x+1)
y=(-65-27x+17x^2+10-25x^2-25x-25)/(x-1)(x^2+x+1)
y=(-8x^2-52x-80)/(x-1)(x^2+x+1)
-8x^2-52x-80=0 / ÷(-4)
2x^2+13x+20=0
D=13^2-4*2*20=169-160=9
x1=(-13-3)/(2*2)=-16/4=-4
x2=(-13+3)(2*2)=-10/4=-2,5
ОДЗ
(x-1)(x^2+x+1)≠0
х-1≠0
x≠1
или
x^2+x+1≠0
D=1^2-4*1*1=1-4=-3
D<0, нет корней
Ответ:-4; -2,5
2 votes
Thanks 2
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Answers & Comments
y=-65/(x-1)(x^2+x+1) - (10-17x)/(x^2+x+1) - 25/(x-1)
y=-65/-(x-1)(x^2+x+1) - (x-1)(10-17x)/(x-1)(x^2+x+1) - 25(x^2+x+1)/(x-1)(x^2+x+1)
y=(-65-(10x-17x^2-10+17x)-(25x^2+25x+25))/(x-1)(x^2+x+1)
y=(-65-27x+17x^2+10-25x^2-25x-25)/(x-1)(x^2+x+1)
y=(-8x^2-52x-80)/(x-1)(x^2+x+1)
-8x^2-52x-80=0 / ÷(-4)
2x^2+13x+20=0
D=13^2-4*2*20=169-160=9
x1=(-13-3)/(2*2)=-16/4=-4
x2=(-13+3)(2*2)=-10/4=-2,5
ОДЗ
(x-1)(x^2+x+1)≠0
х-1≠0
x≠1
или
x^2+x+1≠0
D=1^2-4*1*1=1-4=-3
D<0, нет корней
Ответ:-4; -2,5