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Amiraneli [1.4K]
2 years ago
13

Find the missing value. (√24-√k)(√24+√k)=5

Mathematics
2 answers:
aleksley [76]2 years ago
5 0

Answer:

19

Step-by-step explanation:

(\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19

Anna [14]2 years ago
4 0

Answer:

  • <u>k = 19</u>

Step-by-step explanation:

<u>Identity</u>

  • (a + b)(a - b) = a² - b²

<u>Simplifying the LHS (Left Hand Side)</u>

  • (√24-√k)(√24+√k)
  • (√24)² - (√k)²
  • 24 - k

<u>Equating to the RHS</u>

  • 24 - k = 5
  • k = 24 - 5
  • <u>k = 19</u>
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Separate the x- and y-values with a comma.<br> X=-3+y<br> 26x - 5y = 6
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Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x  = -3 + y

26 x - 5 y =  6

Now, substitute x  = -3 + y in the second equation , we get

26 x - 5 y =  6  ⇒   26 (-3 + y) - 5 y =  6

or, 26(-3)  + 26(y)  - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒   21 y =  84

⇒  y = 84 / 21 = 4   or ,   y =  4

So x  = -3 + y  =  -3 + 4 = 1

Hence, the solution of the given system is (x,y) = (1,4)

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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xz_007 [3.2K]

Answer:

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Step-by-step explanation:

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Answer:

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Hope This Helps!       Have A Nice Day!!

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