Question

h҈ e҈ y҈  f҈ r҈ i҈ e҈ n҈ d҈ s҈ 


if ....


$x + \frac{1}{x} = a + b \:$
And ,


$x - \frac{1}{x} = a - b$


Find x ????


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$<font color = red><h1><marquee > prabhudutt$

Answer 1

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As per the ques


x+1/x = a+ b...........1)




x-1/x=a-b. .............2)




Adding both equations we get,


=>2x. =a+b+a-b
2x = 2a


x= a


hence value of x = a

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$\huge{\mathfrak{Thanks}}$

Answer 2

Answer:

x = a

Step-by-step explanation:

Given, $x+\dfrac{1}{x}=a+b$

Also, $x-\dfrac{1}{x}=a-b$

From above, add x + 1 / x and x - 1 / x

$\implies \bigg(x +\dfrac{1}{x} \bigg)+\bigg( x- \dfrac{1}{x} \bigg) =(a+b)+(a-b)\\\\\\\implies x + \dfrac{1}{x} +x -\dfrac{1}{x} = a + b + a - b \\\\\\\implies x + x + \dfrac{1}{x} - \dfrac{1}{x} = a + a + b - b \\\\\\\implies 2x = 2a \\\\\implies x = a$

Therefore the value of x is a.