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PeetaMellark
@PeetaMellark
July 2022
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решите уравнение (1/5)^x-1+(1/5)^x+1=650
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m11m
Verified answer
5⁻⁽ˣ⁻¹⁾ + 5⁻⁽ˣ⁺¹⁾=650
5⁻ˣ⁺¹ + 5⁻ˣ⁻¹ =650
5⁻ˣ * 5 + 5⁻ˣ * 5⁻¹ =650
5⁻ˣ (5+5⁻¹)=650
5⁻ˣ (5 + ¹/₅)=650
5⁻ˣ (²⁶/₅)=650
5⁻ˣ=650 * ⁵/₂₆
5⁻ˣ=25*5
5⁻ˣ=5² * 5
5⁻ˣ=5³
-x=3
x= -3
Ответ: -3.
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Answers & Comments
Verified answer
5⁻⁽ˣ⁻¹⁾ + 5⁻⁽ˣ⁺¹⁾=6505⁻ˣ⁺¹ + 5⁻ˣ⁻¹ =650
5⁻ˣ * 5 + 5⁻ˣ * 5⁻¹ =650
5⁻ˣ (5+5⁻¹)=650
5⁻ˣ (5 + ¹/₅)=650
5⁻ˣ (²⁶/₅)=650
5⁻ˣ=650 * ⁵/₂₆
5⁻ˣ=25*5
5⁻ˣ=5² * 5
5⁻ˣ=5³
-x=3
x= -3
Ответ: -3.