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Unicorn1337228
@Unicorn1337228
August 2022
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2 (6x+5)^2 (3x+2)(x+1)=1
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sedinalana
2*(36x²+60x+25)*(3x²+5x+2)=1
2(12(3x²+5x)+25)(3x²+5x+2)=1
3x²+5x=a
2(12a+25)(a+2)-1=0
24a²+48a+50a+100-1=0
24a²+98a+99=0
D=9604-9504=100
a1=(-98-10)/48=-9/4⇒3x²+5x=-9/4
3x²+5x+9/4=0/*4
12x²+20x+9=0
D=400-432=-32<0 нет решения
a2=(-98+10)/48=-11/6⇒3x²+5x=-11/6
3x²+5x+11/6=0 /*6
18x²+30x+11=0
D=900-792=108
√D=6√3
x1=(-30-6√3)/36=(-5-√3)/6 U x2=(-5+√3)/6
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Answers & Comments
2(12(3x²+5x)+25)(3x²+5x+2)=1
3x²+5x=a
2(12a+25)(a+2)-1=0
24a²+48a+50a+100-1=0
24a²+98a+99=0
D=9604-9504=100
a1=(-98-10)/48=-9/4⇒3x²+5x=-9/4
3x²+5x+9/4=0/*4
12x²+20x+9=0
D=400-432=-32<0 нет решения
a2=(-98+10)/48=-11/6⇒3x²+5x=-11/6
3x²+5x+11/6=0 /*6
18x²+30x+11=0
D=900-792=108
√D=6√3
x1=(-30-6√3)/36=(-5-√3)/6 U x2=(-5+√3)/6