Question

solutia naturala a ecuatiei x la a 2 a plus x minus 6 egal 0

Answer 1

x² + x - 6 = 0
Δ = 1 -4×(-6) = 1 + 24 = 25
x1 = (-1 + √25 )/2 = (-1 + 5)/2 = 4/2 = 2
x2 = (-1 -5)/2 = -6/2 = -3 ∉ N

Solutia naturala este x = 2

Answer 2

$\displaystyle x^2 + x - 6 = 0 \\ \Delta=b^2-4ac \\ \Delta=1^2-4\cdot1\cdot(-6) \\ \Delta=1 +24 \\ \Delta=25 \\ \\ \boxed{X_{1,2}= \frac{-b\pm \sqrt{\Delta} }{2a} } \\ \\\\ X_1= \frac{-1-5}{2}=-3 \in Z \\ \\ \\ X_2= \frac{-1+5}{2}=2 \in N$