Question

$\sqrt{x} -x-2$ rezolvati in R ecuatia

Answer 1

√x-x-2⇒
√x=x+2
(√x)²=(x+2)²
x=x²+4x+4
-x²+x-4x-4=0
-x²-3x-4=0                 inmultim -1
x²+3x+4=0
Δ=9-16=-7
x₁=(-1+7i)/2
x₂=(-1-7i)/2

Answer 2

DVA:x≥0
[tex] \sqrt{x} =x+2 [/tex]
$x=(x+2)^2$
$x=x^2+4x+4$
$x^{2} +3x+4=0$
in acest cazΔ<0 si ecuatia n-are solutii reale