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Anit [1.1K]
3 years ago
5

Solve:5^x+1/5^x=25 1/25​

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

Answer:

x = -2 I think that the right answer

Vaselesa [24]3 years ago
6 0

Answer:

either x=2 or x=-2

Step-by-step explanation:

let 5^x be a then,

a+1/a=626/25

or,25(a^2+1)=626a

or,25a^2+25-626a=0

or,25a^2-626a+25=0

or,25a^2-(625+1)a+25=0

or,25a^2-625a-a+25=0

or,25a(a-25)-1(a-25)=0

or,(a-25)(25a-1)=0

either,

a-25=0

or,a=25

or,5^x=5^2

equating the powers we get,

x=2

or,

25a-1=0

or,a=1/25

or,5^x=1/5^2

or,5^x=5^-2

equating the powers we get,

x=-2

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