1 Answers
a+1/a = 3
or, a²-3a+1 = 0
or, a= [-(-3)±√{(-3)²-4×1×1}]÷(2×1)
.'. a = (3±√5)/2
ক্যালকুলেটরের সাহায্যে,
a৪ = (47±21√5)/2 এবং
a³ = 9±4√5
.'. a৪+1/a³
= (47±21√5)/2 + 1/(9±4√5)
= (845±377√5)/(18±8√5)
= (845±377√5)×(18±8√5)/(18±8√5)×(18±8√5)
= (130±26√5)/(324-320)
= (65±13√5)/2 [Ans.]
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