if a+1/a=17/4,find the value of (a-1/a)
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Answer:
a-1/a = 15/4
Step-by-step explanation:
a^2+1/a=17/4
cross multiplication
4a^2+4=17a
4a^2-17a+4=0
4a^2-16a-a+4=0
4a(a-4)-1(a-4)=0
(4a-1)(a-4)=0
a=4
a-1/a= 4-1/4
= 15/4
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