Question

if a + 1 / a is equal to 17 upon 4 find the value of [a-1/a]

Answer 1

Hi Friend !!

Here is ur answer !!

a+1/a = 17/4

a-1/a = ?

(a-1/a)² = (a+1/a)² - 4(a)(1/a)

(a-1/a)² = (17/4)² - 4

(a-1/a)² = 289/16 - 4

(a-1/a)² = 289 - 16 / 16

(a-1/a)² = 273/16

a-1/a = √273 / √16

a-1/a = √273 / 4


Hope it helps u : )

Answer 2

a+1/a=17/4  _________________ eq1
a-1/a _______________________eq2

From a+1/a=17/4 we get

a-1=17a/4
a=(17a/4)+1
4a=17a+1
-13a=1
a=-1/13

Putting the value of a in eq 2
[(-1/13)-1]/(-1/13)
(-14/13)/(-1/13)
-14/13×-13/1
=14/1=14

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Thank u