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3 years ago

What is the solution to the equation? -6.8 + 2.6+ x = 9.7

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

6 0

Answer: 13.9

Step-by-step explanation:

Hey there!

So, when finding missing parts of an equation, in this case

-6.8 + 2.6 + x = 9.7

First add

-6.8 + 2.6 = -4.2

Then -4.2 + x = 9.7

To find x, add 4.2 and 9.7 and you get 13.9

Plug 13.9 into the equation for x to check if you are correct

-6.8 + 2.6 + 13.9 = 9.7

-6.8 + 16.5 = 9.7

9.7 = 9.7 ✔

Your solution checks

Hope this helps

grin007 [14]3 years ago

5 0

-6.8 + 2.6 = -4.2
-4.2 + x = 9.7
x = 9.7 + 4.2
x = 13.9

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pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

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$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

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Take positive square roots

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Take LCM

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Collect like terms

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