a+1/a=17/4 then the value of (a-1/a)
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a+1/a= 17/4
(a²+1)/a = 17/4
4(a²+1) = 17a
4a²+4 = 17a
4a²-17a+4 = 0
using the below eqn we can find the value of "a"
a= 4, b= -17, c =4
-(-17)+/-√(-17)²-4*4*4 whole divided by 2*4
17 +/-√289-64 whole divided by 8
17+/- √225/(8)
17+/- 15/(8)
here we have two values for "a"
17+15/(8)= 4 or 17-15/(8) =1/4
subtituting the value in a-1/a
(i) a= 4
4²-1/(4)= 15/4
(ii) a = 1/4
(1/4)²-1/(1/4)= - 15/4
hope it helps... :)
(a²+1)/a = 17/4
4(a²+1) = 17a
4a²+4 = 17a
4a²-17a+4 = 0
using the below eqn we can find the value of "a"
a= 4, b= -17, c =4
-(-17)+/-√(-17)²-4*4*4 whole divided by 2*4
17 +/-√289-64 whole divided by 8
17+/- √225/(8)
17+/- 15/(8)
here we have two values for "a"
17+15/(8)= 4 or 17-15/(8) =1/4
subtituting the value in a-1/a
(i) a= 4
4²-1/(4)= 15/4
(ii) a = 1/4
(1/4)²-1/(1/4)= - 15/4
hope it helps... :)
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