Question

Solve for x -exFormula1" title=" x^{2} + 5x + 6 = 0 \\ \\ " alt=" x^{2} + 5x + 6 = 0 \\ \\ " align="absmiddle" class="latex-formula">

ty! :)​

Answer 1

Hello,

x² + 5x + 6 = 0

a = 1 ; b = 5 ; c = 6

∆ = b² - 4ac = 5² - 4 × 1 × 6 = 25 - 24 = 1 > 0

2 solutions :

$x_{1} = \frac{ - b - \sqrt{\Delta} }{2a} = \frac{ - 5 - 1}{2 \times 1} = \frac{ - 6}{2} = - 3$

$x_{2} = \frac{ - b + \sqrt{\Delta} }{2a} = \frac{ - 5 + 1}{2 \times 1} = \frac{ - 4}{2} = - 2$

S = { -3 ; -2}