Nomor 21 pakai caraaaaaaaaaa.... Question from @Beedavid

December 2018 2 68 Report

Nomor 21 pakai caraaaaaaaaaa

tribeking22 Assume the number = x
The reciprocal will be 1/x

x + 1/x = 2 1/12
(x^2 + 1)/x = 25/12
12.(x^2 + 1) = 25x
12x^2 + 12 - 25x = 0
12x^2 - 25x + 12 = 0
12x^2 - 9x - 16x + 12 = 0
3x(4x - 3) - 4(4x - 3) = 0
(3x-4)(4x-3) = 0
x = 4/3 atau x = 3/4

So the number is either 4/3 or 3/4

1 votes Thanks 1

Abqori241 $\displaystyle
~~~~~~~~~~~~~x + \frac{1}{x} = 1 \frac{1}{12} 
\\\\~~~~~~~~~~~~~ \frac{x^2 + 1}{x} = \frac{25}{12} 
\\\\ ~~~~~~~~~~~~~~~x(25) = 12(x^2 + 1)
\\\\~~~~~~~~~~~~~~~~~ 25x = 12x^2 + 12
\\\\ 12x^2 - 25x + 12 = 0
\\\\ (3x - 4)(4x - 3) = 0
\\\\ 3x - 4 = 0 ~~~ atau ~~~ 4x - 3 = 0
\\\\ ~~~~~~~x = \frac{4}{3}~~~~~~~~~~~~~~~~~~~x = \frac{3}{4} 
\\\\\\\boxed{\bold{Semoga~membantu}}$

0 votes Thanks 1

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