Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Solve x2 + 4x + 12 = 0 by completing the square.

x = –2 + 2i, x = –2 –2i

x = –2 + i, x = –2 – i

x = –2 + 2i, x = –2 – 2i

x = 0, –4

Sagot :

Answer:

See below

Step-by-step explanation:

x2 + 4x + 12 = 0    Complete the square ( take 1/2 of the 'x' coefficient, then square it   and add it to both sides of the equation

x^2 + 4x + 2^2 + 12 = 2^2     Subtract 12 from both sides

x^2 + 4x + 4 = -8

(x+2)^2 = - 8       sqrt both sides

(x+2) =± sqrt (-8)     simplify just a bit

x+2 = ±(2i sqrt2)      subtract 2 from both sides

x =  -2 ± 2i sqrt 2       <===== I do not see that answer listed

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.