Question

2)Fie x1 si x2(photo) ex2 rezultatul trebuie sa dea 4(mie imi da 6 nu sunt sigur daca e corect)

Answer 1

Salut,

2. x²-4x+2 = 0.

∆ = b²-4ac
∆ = (-4)²-4•1•2
∆ = 16-8
∆ = 8.

x1 = (-b+√∆)/2a
x1 = (4+2√2)/2
x1 = 2(2+√2)/2
x1 = 2+√2.

x2 = (-b-√∆)/2a
x2 = (4-2√2)/2
x2 = 2(2-√2)/2
x2 = 2-√2.

(x1-2)²+(x2-2)² = (2+√2-2)²+(2-√2-2)² = (√2)²+(-√2)² = 2+2 = 4.


Succes! :3

Answer 2

Delta=(-4)^2-8
=8
=> rad delta=2rad 2
x1=(4-2rad2)/2=2-rad2
x2=(4+2rad2)/2=2+rad2
(2-rad2-2)^2 + (2+rad2-2)^2=
2+2=
4