Question

Determinati numarul natural x care verifica egalitatea:
A) x^2:2^2=(3^2)^2
B) 25^2-x^2=24^2
C)x:10^3=10^2
D)144:x=3^2
E)3^2+x^2=5^2
F)324:5^x=(3^2*2)^2

Answer 1

Α) X²= 2²×9²= 18² ,X= 18

B) X²= 25²−24²= 625−576= 49 = 7² ,X= 7

C) X= 10³×10²= 10⁵ = 100000

D) X= 12²÷3²= (12÷3)²= 4² = 16

E) X²= 25−9=16 = 4² ,X= 4

F) 5^x= (3²×2)² ÷ (3²×2)² = 1

5^x= 1.

X= 0