Question

aflati x∈N astfel incit sa se obtina propozitii adevarate xpe5=1pe4,5pex=30pe36,4pe12=xpe6,18pe6=3pex,24pe6=4pex.

Answer 1

x/5=1/4  => x=5/4∉N deci: nu avem solutii in multimea nr. naturale
             (nu are cum sa fie "adevarat" in multimea N !)
5/x=30/36 => x  =(5*36):30 = 3 => x = 6 ∈N ;
4/12=x/6  => x=(6*4):12=2 => x=2∈N ;
18/6=3/x <=> 3/1=3/x  => x=1∈N ;
24/6=4/x <=> 4/1=4/x  => x=1∈N ;