Question

Determinati numarul natural care verifica relatiile:

a) x² : 2² = (3²)²;
b)25²-x²=24²;
c)x:10³=10²;
d)144:x=3²
e)3² + x²=5²;
Va rooog dau coronita!

Answer 1

a) x² : 2² = (3²)²=>x²/4=81=>x²=324=>x=√324 si -√324 =>x₁=18, x₂=-18
b)25²-x²=24²=>625-x²=576=>-x²=-49=>x²=49=>x₁=7, x₂=-7
c)x:10³=10²=>x=10³+10²=>x=10³⁺²=>x=10⁵=>x=100000
d)144:x=3²=>x=144:9=>x=16
e)3² + x²=5²=>9+x²=25=>x²=25-9=>x²=16=>x₁=4, x₂=-4