Question

a+1/a=17/4,find the value of (a-1/a)​

Answer 1

Step-by-step explanation:

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Answer 2

First, we need to find the value of  $\sf \frac{a+1}{a}=\frac{17}{4}$.

Let's solve your equation step-by-step.

$\sf \frac{a+1}{a}=\frac{17}{4}$

Step 1: Cross-multiply.

⇒ $\sf \frac{a+1}{a}=\frac{17}{4}$

⇒ $\sf (a+1)\times (4)=17\times a$

⇒ $\sf 4a+4=17a$

Step 2: Subtract 17a from both sides.

⇒ $\sf 4a+4-17a=17a-17a$

⇒ $\sf -13a+4=0$

Step 3: Subtract 4 from both sides.

⇒ $\sf -13a+4-4=0-4$

⇒ $\sf -13a=-4$

Step 4: Divide both sides by -13.

⇒ $\sf \frac{-13a}{-13} =\frac{-4}{-13}$

⇒ $\sf a = \frac{4}{13}$

Now using the value of 'a' let's solve for $\sf (a-\frac{1}{a})$

⇒ $\sf \dfrac{4}{13} - \dfrac{1}{\frac{4}{13} }$

⇒ $\sf \frac{-153}{52}$

∴ In the equation $\sf \frac{a+1}{a}=\frac{17}{4}$ , $\sf a = \frac{4}{13}$. Using this value when we solve $\sf (a-\frac{1}{a})$ we get $\sf \frac{-153}{52}$.