Question

 Rezolvati in Z ecuatia:
a) x(x-$\sqrt{7}$)=0
b) 4$x^{2}$-4x+1=0
c) $\sqrt{11} x^{2}$=0
d) -3$x^{2}$+x+4=0
e) 4$x^{2}$-4x+1=0
f) $x^{2}$-x-20=0

Answer 1

a) x(x-)=0
x₁=0
x-√7=0
x₂=√7

b) 4-4x+1=0
Δ=16-16=0
x₁=x₂=4/8=1/2

c) =0
x₁=x₂=0

d) -3+x+4=0
Δ=1+48=49
x₁=(-1+7)/-6=-6/6=-1
x₁=-1
x₂=(-1-7)/-6=8/6=4/3
x₂=4/3

e) 4-4x+1=0
Δ=16-16=0
x₁=x₂=4/8=1/2
x₁=x₂=1/2

f) -x-20=0
Δ=1+80=81
x₁=(1-9)/2=-4
x₁=-4
x₂=(1+9)/2=10/2=5
x₂=5