Question

$x {}^{2} + 2x + 6 = 0$
please give me answer.....​

Answer 1

Answer:x to the power of 2 plus 2x=-6

Step-by-step explanation:

Answer 2

Answer:

$\sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i$

Explanation:

$\sf \rightarrow x^2 + 2x +6 = 0$

$\sf use\:quadratic\:formula: x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \: \: ax^2 + bx + c = 0$

comparing identify:

• a = 1, b = 2, c = 6

Substitute inside the formula:

$\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{2^2 - 4(1)(6)}}{2(1)}$

evaluate:

$\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{4 - 24}}{2}$

$\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{- 20}}{2}$

$\rightarrow \sf x = \dfrac{ -2 \pm 2\sqrt{5}\:i}{2}$

$\rightarrow \sf x =-1 \pm \sqrt{5}\:i$

$\rightarrow \sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i$