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Liliraimbow
a fost răspuns

Aratati ca ecuatia x patrat - 4x +2=0 are solutii reale.

Aratati Ca Ecuatia X Patrat 4x 20 Are Solutii Reale class=

Răspuns :

Bogdantuta4

Răspuns:

x² - 4x + 2 = 0

Δ = b² - 4 a c = (-4)² - 4 · 1 · 2 = 16 - 8 = 8 = 2√2

x₁,₂ = ( -b + √Δ ) : 2 · a =

x₁ = ( 4 + 2√2 ) : 2 = [ 2 ( 2 + √2 ) ] : 2 = 2 + √2

x₂ = ( 4 - 2√2 ) : 2 = [ 2 ( 2 - √2 ) ] : 2 = 2 - √2

=> ecuatia are solutii reale