Question

xla puterea a 2 -5x+4=0 vă rog ajutatima ​

Answer 1

x² - 5x + 4 = 0

a = 1  ;  b = -5  ;  c = 4

Δ = b² - 4ac = ( -5 )² - 4 · 1 · 4 = 25 - 16 = 9 = 3²

x₁,₂ = ( -b ± √Δ ) / 2a

x₁ = [ - (-5) + 3 ] / 2 = ( 5 + 3 ) / 2 = 8 / 2 = 4

x₂ = [ - (-5) - 3 ] / 2 = ( 5 - 3 ) / 2 = 2 / 2 = 1

S = { 1 ; 4 }