Question

x2 + 2x - 6 = 0

chapter name quadratic equations
using formula ​

Answer 1

$x {}^{2} + 2x - 6 = 0 \\ a = 1 \: \: \: b = 2 \: \: \: \: c = - 6 \\ b {}^{2} - 4ac = 2 {}^{2} - 4 \times 1 \times ( - 6) \\ 4 + 24 = 28$

$x = \frac{−b± \sqrt{ {b }^{2} - 4ac} }{2a} =\frac{ - 2± \sqrt{28} }{2 \times 1} = \frac{ - 2± \sqrt{28} }{2} = \frac{2±2 \sqrt{7} }{2}$

$x = \frac{ - 2 + 2 \sqrt{7}} {2} = \ - 1 + \sqrt{7} \\ x = \frac{ - 2 - 2 \sqrt{7} }{2} = - 1 - \sqrt{7}$