a+1/a = 1 हो तो a par
power3+1 =?
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Answer:
==> a² - 1/a² = ± 5√29 ———————————(6)
Step-by-step explanation:
Given,
a - 1/a = 5——————————————-(1)
Squaring both sides, we get
a² + 1/a² - 2(a)(1/a) = 25,
==> a² + 1/a² = 25+2=27,—————————(2)
Adding 2 to both sides of (2)we get
a² + 1/a² + 2 = 27+2= 29 —————————-(3)
==> [ a + (1/a)]² = 29 ———————————(4)
Taking square root of (4) we get
( a + 1/a ) = ± √29————————————-(5)
Multiplying (1) and (5) we get,
( a -1/a)(a +1/a)= ± 5√29
==> a² - 1/a² = ± 5√29 ———————————(6)
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