{"id":818,"date":"2012-02-23T16:56:14","date_gmt":"2012-02-23T16:56:14","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=818"},"modified":"2014-12-02T08:33:48","modified_gmt":"2014-12-02T08:33:48","slug":"conjugate-addition-and-subtraction-of-complex-numbers","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/conjugate-addition-and-subtraction-of-complex-numbers\/","title":{"rendered":"Conjugate, Addition and Subtraction of Complex Numbers"},"content":{"rendered":"<p><strong>Conjugate of complex number<\/strong><\/p>\n<p>The conjugate of a complex number z = a + b<em>i<\/em> is:<\/p>\n<p>a \u2013 b<em>i<\/em><\/p>\n<p>Example:<\/p>\n<p>Conjugate of 7 \u2013 5i = 7 + 5i<\/p>\n<p><strong>Addition of Complex Numbers<\/strong><\/p>\n<p>Sum of two complex numbers a + b<em>i<\/em> and c + d<em>i<\/em> is given as:<\/p>\n<p>(a + b<em>i<\/em>) + (c + d<em>i<\/em>) = (a + c) + (b + d)<em>i<\/em><\/p>\n<p>Real parts are added together and imaginary terms are added to imaginary terms.<\/p>\n<p>Example:<\/p>\n<p>(3 + 4<em>i<\/em>) + (5 \u2013 6<em>i<\/em>) = (3 + 5) + (4 &#8211; 6)<em>i<\/em><\/p>\n<p>= \u00a08 \u2013 2<em>i<\/em><\/p>\n<p><strong>Subtraction of Complex Numbers<\/strong><\/p>\n<p>Difference of Sum of two complex numbers a + b<em>i<\/em> and c + d<em>i<\/em> is given as:<\/p>\n<p>(a + b<em>i<\/em>) \u2013 (c + d<em>i<\/em>) = (a \u2013 c) + (b \u2013 d)<em>i<\/em><\/p>\n<p>Example:<\/p>\n<p>(2 + 7<em>i<\/em>) \u2013 (3 + 5<em>i<\/em>) = (2 \u2013 3) + (7 \u2013 5)<em>i<\/em><\/p>\n<p>= -1 + 2<em>i<\/em><\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Conjugate of complex number The conjugate of a complex number z = a + bi is: a \u2013 bi Example: Conjugate of 7 \u2013 5i = 7 + 5i Addition of Complex Numbers Sum of two complex numbers a + bi and c + di is given as: (a + bi) + (c + di) [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2,13],"tags":[384,1250,1766],"class_list":["post-818","post","type-post","status-publish","format-standard","hentry","category-algebra","category-pre-algebra","tag-conjugateofcomplexnumbers","tag-operationsoncomplexnumbersadditionofcomplexnumbers","tag-subtractionofcomplexnumbers"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/818","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=818"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/818\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=818"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}