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If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/ x81)?
- A–2
- B0
- C1
- D2
Answer not set
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0
CCommunity
Given: x1/4 + 1/(x1/4) = 2
⇒ (x1/8 – (1/x1/8))2 = 0
⇒ x1/8 – (1/ x1/8) = 0
⇒ x1/8 = 1/x1/8
⇒ x1/4 = 1
⇒ x = 1
∴ x81 + (1/x81) = 181 + 1/181 = 2
⇒ (x1/8 – (1/x1/8))2 = 0
⇒ x1/8 – (1/ x1/8) = 0
⇒ x1/8 = 1/x1/8
⇒ x1/4 = 1
⇒ x = 1
∴ x81 + (1/x81) = 181 + 1/181 = 2
0
CCommunity
Given: x1/4 + 1/(x1/4) = 2
⇒ (x1/8 – (1/x1/8))2 = 0
⇒ x1/8 – (1/ x1/8) = 0
⇒ x1/8 = 1/x1/8
⇒ x1/4 = 1
⇒ x = 1
∴ x81 + (1/x81) = 181 + 1/181 = 2
⇒ (x1/8 – (1/x1/8))2 = 0
⇒ x1/8 – (1/ x1/8) = 0
⇒ x1/8 = 1/x1/8
⇒ x1/4 = 1
⇒ x = 1
∴ x81 + (1/x81) = 181 + 1/181 = 2