Question

Q. pnsi
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Jika 4^x + 4^-x = 8 maka 8^x + 8^-x = ..
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Answer 1

Penyelesaian:

a²+b²=8

Maka:

a=2^x

b=2^-x

ab=2^x×2^-x=2⁰=1

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Ingat sifat aljabar a²+b²=(a+b)²-2ab

(a+b)²-2ab=8

(a+b)²-2(1)=8

(a+b)²-2=8

(a+b)=√10

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