Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5-√n-10=1 , the value of n is .

Answer 1

n is 59

Explanation:

Answer 2

n = 59

Explanation:

The given equation of n is
`√(n + 5) - √(n - 10) = 1` and we have to solve it for n.

`√(n + 5) - √(n - 10) = 1` ........... (1)

⇒
`((n + 5) - (n - 10))/(√(n + 5) + √(n - 10)) = 1`

{Rationalizing the numerator}

⇒
`√(n + 5) + √(n - 10) = 15` .............. (2)

Now, adding (1) and (2) we get

`2√(n + 5) = 16`

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)