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aliya0001 [1]
2 years ago
6

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 .
Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0

Answer:

n = 59

Step-by-step explanation:

The given equation of n is \sqrt{n + 5} - \sqrt{n - 10} = 1 and we have to solve it for n.

\sqrt{n + 5} - \sqrt{n - 10} = 1 ........... (1)

⇒ \frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1  

{Rationalizing the numerator}

⇒ \sqrt{n + 5} + \sqrt{n - 10} = 15 .............. (2)

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

2\sqrt{n + 5} = 16

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

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