Show life that you have a thousand reasons to smile
© Copyright 2024 DOKU.TIPS - All rights reserved.
- 14 = - 8 - 6
a³ - 8 + 3a - 6 = 0
a³ - 2³ + 3· ( a -2) = 0
//////////
diferenta de cuburi
( a - 2 ) · ( a² +2a + 4) + 3· ( a - 2) = 0
( a -2 ) ·[ ( a² + 2a + 4) + 3 ] = 0
solutia a - 2 = 0 ⇒ a₁ = 2 ∈ R
a² + 2a + 4 + 3 = 0
a² + 2a + 7 = 0 cu Δ =2² - 4·7 = 4 - 4 ·7 = -24
solutiile a₂ ; a₃ ∈ C
- 24 = 24 · ( -1) = 24· i² ; √Δ=√24√i² = 2i√6
a₂ = ( -2 - 2i√6) / 2 = - 1 - i√6
a ₃= - 1 + i√6
a₂ , a₃ radacini complexe conjugate
SAU: divizorul lui 14 este 2
Horner :
1 0 3 -14
---------------------------------------------------------------------------------
a =2 1 2 7 0
///////////////////////////// coeficientii ecuatiei de gradul II
a² + 2a + 7 = 0