Question

Găsiti" X" ecuaţia:2016[16+(42:X-5):2]=9

Answer 1

$2016\times [16+(42: X -5):2]=9 \\ \\ 16+(42: X -5):2 = \dfrac{9}{2016} \\ \\ (42: X -5):2 = \dfrac{9}{2016}-16 \\ \\ 42: X -5 = 2\times\Big{(}\dfrac{9}{2016}-16\Big{)} \\ \\ 42: X -5 = \dfrac{9}{1008}-32 \\ \\ 42: X = \dfrac{9}{1008}-32+5 \\ \\ 42: X = \dfrac{9}{1008}-27 \\ \\ X =\dfrac{42}{\dfrac{9}{1008}-27} \Rightarrow X = \dfrac{42}{\dfrac{1}{112}-27} \Rightarrow$


$\Rightarrow X = \dfrac{42}{\dfrac{1-3024}{112}} \Rightarrow X = \dfrac{42\times 112}{-3023} \Rightarrow X = \dfrac{4704}{-3023} \Rightarrow X =-1,55607013$