{"id":5328,"date":"2013-02-04T17:42:07","date_gmt":"2013-02-04T17:42:07","guid":{"rendered":"http:\/\/schooltutoring.com\/scholarship\/?p=5328"},"modified":"2014-12-02T08:27:05","modified_gmt":"2014-12-02T08:27:05","slug":"how-to-use-the-quadratic-formula","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2013\/02\/04\/how-to-use-the-quadratic-formula\/","title":{"rendered":"How to Use the Quadratic Formula"},"content":{"rendered":"

\u00a0Overview of the Quadratic Formula<\/strong><\/p>\n

 <\/p>\n

The Quadratic Formula is a special math expression that can be used to help students solve math equations that take a distinct form:<\/p>\n

ax2<\/sup> + bx + c = 0<\/strong><\/p>\n

Quick Factoring to Solve the Problem<\/strong><\/p>\n

There are 2 things to remember.\u00a0 First, a<\/strong>, b<\/strong>, and c<\/strong> are numbers (the coefficients) and they are always given in the problem, so they are always known.\u00a0 It’s the x that’s the unknown.\u00a0 Second, although the Quadratic Formula works, sometimes it’s easier to factor the problem and solve fox x that way.<\/p>\n

 <\/p>\n

For example, suppose you are already given a problem such as (x-2)(x-5) =0.\u00a0 That is already another representation of the Quadratic Equation and can be expanded into ax2<\/sup>-7x +10 = 0. (Using our definition of coefficients, a equals 1, b = -7, and c =10).<\/p>\n

Rather than use the formula, it’s easier to just think that if the answer is zero, either x-2 = 0, in which case x has to equal 2 or x -5 has to equal 0.\u00a0 Then X equals 5.<\/p>\n

Solve for X using the Quadratic Formula<\/strong><\/p>\n

Not every equation can be easily factored, though.\u00a0 Therefore, the other part of the Quadratic Formula becomes important.\u00a0 If we already know a, b, and c, x\u00a0 can be represented by a rather complicated formula that is simpler than it looks:\"quadratic-equation-calculator\"<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Remember to take each step in order and that way you will be able to solve for x, even if the equation can’t be factored easily (or if it isn’t already factored).<\/p>\n

Always Check Your Work<\/strong><\/p>\n

Does it work in the real world?\u00a0 The previous equation was x2 <\/sup>-7x +10 =0.\u00a0 The numerator can be solved as 7 \u00a0\u00b1 3 {49-4(1)(10)}\u00a0 which is either 7 +3\u00a0 or 7-3.\u00a0 10\/2 =5, and 4\/2 = 2.\u00a0 Those were the answers for x that were solved by factoring the equation.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u00a0Overview of the Quadratic Formula   The Quadratic Formula is a special math expression that can be used to help students solve math equations that take a distinct form: ax2 + bx + c = 0 Quick Factoring to Solve the Problem There are 2 things to remember.\u00a0 First, a, b, and c are numbers […]<\/p>\n","protected":false},"author":22,"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],"tags":[588,683,1086,1412],"class_list":["post-5328","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-equation","tag-formula","tag-math","tag-properties"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=5328"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/5328\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=5328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=5328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=5328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}