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kotuk2000
@kotuk2000
March 2022
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ПрофиЗнания
2x^2+x+5= z
(z+3a^2)^2=12a^2 z
z^2 + 6a^2 z + 9a^4 -12a^2 z=0
z^2 -6a^2+9a^4=0
(z-3a^2)^2=0
z-3a^2=0
z=3a^2
2x^2+x+5=3a^2
2x^2+x+(5-3a^2)=0
D=1-4*2*(5-3a^2)=0
Если уравнение имеет 1 корень, то Дискриминант равен нулю.
1-8(5-3a^2)=0
1-40+24a^2=0
24a^2=39
a^2=39/24
a1=√(39/24)
a2=-
√(39/24)
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Answers & Comments
(z+3a^2)^2=12a^2 z
z^2 + 6a^2 z + 9a^4 -12a^2 z=0
z^2 -6a^2+9a^4=0
(z-3a^2)^2=0
z-3a^2=0
z=3a^2
2x^2+x+5=3a^2
2x^2+x+(5-3a^2)=0
D=1-4*2*(5-3a^2)=0
Если уравнение имеет 1 корень, то Дискриминант равен нулю.
1-8(5-3a^2)=0
1-40+24a^2=0
24a^2=39
a^2=39/24
a1=√(39/24)
a2=-√(39/24)