Sa se rezolve ecuatia
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Răspuns:
Explicație pas cu pas:
Pt x=0 : 1 + 1 = 2 < 4
Pt x=1: 7 +7 = 14 > 4
Deci 0 < x < 1
7 + 4V3 = (2 +V3)^2
7 - 4V3 = (2 -V3)^2
Pt x =1/2:
V((2 +V3)^2)^1/2 + V((2 -V3)^2)^1/2 =
2 +V3 + 2 -V3 = 4
Solutia: x = 1/2