Question

Solve the equation by completing the square.

Answer 1

Answer:

$0 = {x}^{2} + 14x + 46$

$\boxed{ {x}^{2} - 14x - 46 = 0}$

$x1.2 = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a}$

$x1.2 = \frac{ - 14 ± \sqrt{ { - 14}^{2} - 4(1 \times 46) } }{2 (1)}$

$x1.2 = \frac{ - 14 ± \sqrt{196 - 184} }{2}$

$x1.2 = \frac{ - 14 ± \sqrt{12} }{2}$

$x1.2 = \frac{ \cancel{ - 14} ± \sqrt{12} }{ \cancel{2} }$

$x1.2 = - 7 ± \sqrt{12}$

$x1.2 = - 7 ± \sqrt{4 \times 3}$

$\boxed{ \bold{ - 7 ± 2 \sqrt{3}}}$