Решите 2 задания, пожалуйста: 1).Упростить: √6

rus1997 @rus1997

July 2021 2 14 Report

Решите 2 задания, пожалуйста:

1).Упростить: √6 - 6

---------

2√3 - 6√2

2). Решите неравенство

11 7

---------- < --------- .

x(x-5) x(5-x)

NNNLLL54

Verified answer

√6-6 √6(1-√6) √2 * √3 1

------------- = --------------- = ------------- = -------

2√3-6√2 2√3(1-√6) 2 * √3 √2

2) 11 7 18 + - +

------------ + ------------- <0, ------------ <0, ⇒ х(х-5)<0 --------(0)--------(5)-------

х(х-5) х(х-5) х(х-5)

х∈(0,5)

1 votes Thanks 1

Nanka2013

$\frac{\sqrt{6}-6}{2\sqrt{3}-6\sqrt{2}}=\frac{\sqrt{2}(\sqrt{3}-3\sqrt{2})}{2(\sqrt{3}-3\sqrt{2})}=\frac{\sqrt{2}}{2};$
$2)\frac{11}{x(x-5)}$
$\frac{11}{x(x-5)}$
$\frac{11}{x(x-5)}+\frac{7}{x(5-x)}$
$\frac{11+7}{x(x-5)}$
$\frac{18}{x(x-5)}$
$x(x-5)$

ответ:(0;5)

1 votes Thanks 1

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