homogeneous eqn example

Exercice 4 Question 1
Z² - 4z + 5 = 0
Delta = b² - 4ac
= (-4)² - 4x1x5
= -4 = (2i)²
z1 = -b + racing(delta) / 2a
= 4 +2i / 2
= 2 +i
z2 = 2 -i
S = {2-i ; 2 +i}

Exercice 5 Question 3 Alif
f'(x) = ((xE - 11)E)'
f'(x) = (xE -1)' E+ (E)' (xE - 1)
= (E + xE)E + E(xE -1)
= E(E + 2xE -1)
f('x) = E(E -1 + 2xE)
f(0) = e°(e° - 1 + 0) = 0