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StadentYURGU
@StadentYURGU
July 2022
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5^x-(1/5)^x-1 = 4 Помогите быстрееее!!!
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MizoriesKun
5ˣ-(1/5)ˣ⁻¹
= 4
5ˣ- 5¹⁻ˣ= 4
5ˣ-(5/5ˣ)= 4
5ˣ*5ˣ-4*5ˣ-5 =0
5²ˣ -4*5ˣ -5=0
замена 5ˣ=а , a>0
а²-4а-5=0
D=16+20=36 √D=6
a₁=(4+6)/2=5 5ˣ=5
x
₁
=1
a₂=(4-6)/2=-1<0 , не подходит
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Answers & Comments
5ˣ- 5¹⁻ˣ= 4
5ˣ-(5/5ˣ)= 4
5ˣ*5ˣ-4*5ˣ-5 =0
5²ˣ -4*5ˣ -5=0
замена 5ˣ=а , a>0
а²-4а-5=0
D=16+20=36 √D=6
a₁=(4+6)/2=5 5ˣ=5 x₁=1
a₂=(4-6)/2=-1<0 , не подходит