Question

x²+9x+14=0
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Answer 1

Răspuns:

Explicație pas cu pas:

x² + 9x + 14 = 0

a = 1 ; b = 9 ; c = 14

∆ = b² - 4ac = 9² - 4 × 1 × 14 = 81 - 56 = 25 > 0 ⟹ ∃ x1 , x2 ∈ ℝ ; x1 ≠ x2

$x_1 = \frac{ - b + \sqrt{ \triangle} }{2a} = \frac{ - 9 + \sqrt{25} }{2} = \frac{ - 9 + 5}{2} = \frac{ - 4}{2} = - 2$

$x_2 = \frac{ - b - \sqrt{ \triangle} }{2a} = \frac{ - 9 - \sqrt{25} }{2} = \frac{ - 9 - 5}{2} = \frac{ - 14}{2} = - 7$