Question

a) aflati divizori lui 15 si determinati numerele naturale x stind ca 15 (x + 1 )

b) aflati dovizori lui 26 si determinati numerele naturale × stiind ca 26 ( 2• × + 1)

c) aflati divizori lui 32 si determinati numerele naturale × stiind ca 32 2• × + 4 )

d) aflati divizori lui 70 si determinati numerele × stiind ca 70 2• × + 5)

e) aflati divizori lui 45 si determinati numerele naturale × stiind ca 45 (3• × minus 3)​​

Answer 1

Banuiesc ca te referi la 15 divide (x+1) samd
a) d15={-15,-5,-3,-1,1,3,5,15}
x+1 ={1,3,5,15}
x={0,2,4,14}


b) d26={ -26,-13,-2,-1,1,2,13,26}
2x+1={1,2,13,26}
2x={0,1,12,25}
x={0,6}
*explicatie: tinand cont ca cerinta spune ca x este un numar natural nu am trecut in acolada finala si celelalte valori obtinute dupa impartire cum ar fi 1/2 sau 25/2, ci le-am ales doar pe cele corespunzatoare

c) d32={-32,-16,-8,-4,-2,-1,1,2,4,8,16,32}
2x+4={1,2,4,8,16}
2x={-3,-2,0,4,12}
x={0,2,6}

d) d70={-70,-35,-14,-5,-2,-1,1,2,5,14,35,70}
2x+5={1,2,5,14,35,70}
2x={-4,-3,0,9,30,65}
x={0,15}

e)d45={-45,-15,-9,-5,-3,-1,1,3,5,9,15,45}
3x-3={-3,1,3,5,9,15,45}
3x={0,2,4,6,8,12,18,49}
x={0,2,4,6}