Question

if x-1/x=15/4 find x+1/x
answer quick​

Answer 1

Answer:

Given, (x-1)/x = 15/4

⇒4(x-1) = 15x

⇒4x - 4 = 15x

⇒4x - 15x = 4

⇒-11x = 4

⇒ x = -4/11 ....eqn. 1

Now,

(x-1)/x = 15/4

Squaring both sides,

⇒{(x-1)/x}^2 = (15/4)^2

⇒(x^2 + 1 -2x)/x^2 = 225/16

On adding 4x/(x^2) both sides and solving, you will get

(x^2 + 1 + 2x)/(x^2) = 225/16 + 4x/(x^2)

Now, SUBSTITUTE THE VALUE OF x WE GOT, IN RHS ONLY from eqn. 1.

And Solve... You will get

⇒(x^2 + 1 + 2x)/(x^2) = 49/16

⇒{(x+1)/x}^2 = (7/4)^2

∴ (x + 1)/x = 7/4 (Ans.)

Answer 2

x+1/x=-7/4

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