{"id":6245,"date":"2014-11-05T20:17:56","date_gmt":"2014-11-05T20:17:56","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=6245"},"modified":"2018-02-16T17:55:47","modified_gmt":"2018-02-16T17:55:47","slug":"math-the-casio-fx-991es-equation-solver","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-the-casio-fx-991es-equation-solver\/","title":{"rendered":"Math:  the CASIO fx-991ES equation solver"},"content":{"rendered":"<h1>During his math degree, the tutor used a minimal TI scientific. Nowadays, during tutoring, he sees so many calculators with amazing features&#8230;.<\/h1>\n<p>The Casio <em>fx-991ES<\/em> <span style=\"font-size:11px;font-style:italic\">NATURAL DISPLAY<\/span> is, in my opinion, comparable to a Sharp <em>WriteView<\/em>.  Their screens are deeper than most scientifics, so that they can display fractions up-and-down.  They can also simplify radicals symbolically, like you would by hand:  &#8730;(40) will display as 2&#8730;(10) (in the right mode).  Moreover, they can display radian measures symbolically, using pi:  sin^(-1)(0.5) will display as &#960;\/6 (in rad mode).  Sharp summarizes these features as <em>WriteView<\/em>; Casio describes them as <span style=\"font-size:11px;font-style:italic\">NATURAL DISPLAY<\/span>. <\/p>\n<p>Those features I will explore in other posts; today I&#8217;m showing, with an example, how one might use the equation solver built into the Casio <em>fx-991ES<\/em>.  It&#8217;s surprisingly powerful, and surprisingly easy to use:<\/p>\n<p><strong>Example<\/strong>:  Solve 11xe^(-0.44x)-1.2sinx + 5 =0<\/p>\n<p>This is likely not an equation most people want to tackle by hand.  Here&#8217;s how to do it with the Casio <em>fx-991ES<\/em>:<\/p>\n<p>Step 1:  I was in COMP mode to use the solver.  That&#8217;s <span style=\"font-family:monospace\">MODE 1<\/span>.  Also, I was in <strong>rads<\/strong>(Shift Mode 4), which is important:  sinx is in the equation.<\/p>\n<p>Step 2:  You need to enter the equation as <span style=\"font-family:monospace;\">Y=11Xe<sup><span style=\"font-size:medium\">-0.44X<\/span><\/sup>-1.2sinX+5<\/span>.  <strong>Important: to enter the <span style=\"font-family:monospace\">=<\/span> in the equation, use <span style=\"font-variant:small-caps\">alpha calc<\/span>.<\/strong>  Use the <span style=\"font-variant:small-caps\">alpha<\/span> switch to enter the <span style=\"font-family:monospace\">Y<\/span> and the <span style=\"font-family:monospace\">X<\/span>.<\/p>\n<p>Step 3:  After you&#8217;ve entered the equation, key in <span style=\"font-variant:small-caps\">shift calc<\/span>.<\/p>\n<p>Step 4:  <span style=\"font-family:monospace\">Y?<\/span> should now appear.  Key in <span style=\"font-family:monospace\">0<\/span>, then regular <span style=\"font-family:monospace\">=<\/span>.<\/p>\n<p>Step 5:  <span style=\"font-family:monospace\">Solve for X<\/span> should now appear.  There may already be a number across the bottom; regardless, press regular <span style=\"font-family:monospace\">=<\/span>.<\/p>\n<p>Step 6:  The screen may go blank for a few seconds while the solver works.  Soon, though, you&#8217;ll be greeted with the solution (if the equation was, indeed, solvable:)).  There will be three lines:<\/p>\n<ol>\n<li>across the top you&#8217;ll see your equation<\/li>\n<li>in the middle, you&#8217;ll see <span style=\"font-family:monospace\">X=-0.415296339<\/span> (for this equation, anyway)<\/li>\n<li>across the bottom you&#8217;ll see <span style=\"font-family:monospace\">L-R=0<\/span> (which, I believe, means &#8220;left&#8221; minus &#8220;right&#8221;; it shows how close the solution matches the two sides of the equation).<\/ol>\n<p>To double check, I fed the same equation to the solver on my old Sharp EL-520W; it agrees exactly with the Casio&#8217;s solution:)<\/p>\n<p>Have fun experimenting!<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>During his math degree, the tutor used a minimal TI scientific. Nowadays, during tutoring, he sees so many calculators with amazing features&#8230;. The Casio fx-991ES NATURAL DISPLAY is, in my opinion, comparable to a Sharp WriteView. Their screens are deeper &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-the-casio-fx-991es-equation-solver\/\"> <span class=\"screen-reader-text\">Math:  the CASIO fx-991ES equation solver<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[276],"class_list":["post-6245","post","type-post","status-publish","format-standard","hentry","category-math","tag-casio-fx-991es-equation-solver"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=6245"}],"version-history":[{"count":43,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6245\/revisions"}],"predecessor-version":[{"id":29936,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/6245\/revisions\/29936"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=6245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=6245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=6245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}