If a^2+1/a^2=18 ,find the value of a+1/a and a-1/a.
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Answer:
Step-by-step explanation:
a^2 + 1/a^2 = 18
(a + 1/a)^2 = a^2 + 1/a^2 + 2
= 18 + 2
= 20
a + 1 / a = root 20
(a - 1/a)^2 = a^2 + 1/a^2 - 2
= 18 - 2
= 16
a - 1/a = root 16
= 4
Therefore , a + 1/a = root 20 and a - 1/a = 4