{"id":21,"date":"2024-06-17T12:13:22","date_gmt":"2024-06-17T10:13:22","guid":{"rendered":"https:\/\/comma.co.za\/?p=21"},"modified":"2024-07-04T09:30:12","modified_gmt":"2024-07-04T07:30:12","slug":"graad-12-wiskunde-algebra-kwadratiese-vergelykings","status":"publish","type":"post","link":"https:\/\/comma.co.za\/afrikaans\/graad-12-wiskunde-algebra-kwadratiese-vergelykings\/","title":{"rendered":"Graad 12 Wiskunde &#8211; Algebra: Kwadratiese Vergelykings"},"content":{"rendered":"<p>Wanneer ek leerders oor kwadratiese vergelykings tutor. Fokus ek op die vier maniere waarop hulle opgelos kan word.<\/p>\n<ol>\n<li>Faktorisering<\/li>\n<li>Te skryf in die vorm: \u00a0 &#8216;n volkome vierkant = &#8216;n getal<\/li>\n<li>&#8220;voltooiing van die vierkant&#8221; indien jy gevra word om dit so op te los<\/li>\n<li>\u00a0met die gebruik van die kwadratiese formule. x = -b \u00b1 <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>b<span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u00b2<\/span><\/span>-4ac \/ 2a<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>Oor die algemeen sal jy in vraestelle meeste van die tyd kwadratiese vergelykings faktoriseer of die kwadratiese vergelyking gebruik, wanneer jy die antwoord in wortelvorm moet los.<\/p>\n<p>Kom ons kyk na hoe ons x kan oplos in\u00a0 (x+1)(x-2)=3x-1.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u00a0Los op die hakkies<\/li>\n<\/ul>\n<p>x<span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u00b2 <\/span><\/span>&#8211; x &#8211; 2 = 3x &#8211; 1<\/p>\n<ul>\n<li>Dra al die waardes oor na die linkerkant van die &#8220;=&#8221;<\/li>\n<\/ul>\n<p>x<span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u00b2<\/span><\/span> &#8211; 4x &#8211; 1 = 0<\/p>\n<ul>\n<li>Wanneer jy dit nie kan faktoriseer nie. Mag jy gebruik maak van die kwadratiese formule.<\/li>\n<\/ul>\n<p>x = -b \u00b1 <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>b<span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u00b2<\/span><\/span>-4ac \/ 2a<\/p>\n<p>x = -(-4) \u00b1 <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>(-4)<span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u00b2<\/span><\/span>-4(1)(-1) \/ 2(1)<\/p>\n<p>x = 4 \u00b1 <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>16+4 \/ 2<\/p>\n<p>dus is x= 2 + <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>5 of\u00a0 x = 2 &#8211; <span class=\"ILfuVd\" lang=\"en\"><span class=\"hgKElc\"><b>\u221a<\/b><\/span><\/span>5<\/p>\n<p>&nbsp;<\/p>\n<p>Indien jy hierdie hulpvol gevind het Kontak <a href=\"tel:0762304040\">076 230 4040<\/a> of stuur &#8216;n e-pos na <a href=\"mailto:info@comma.co.za\">info@comma.co.za<\/a> om &#8216;n tutorles te bespreek.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wanneer ek leerders oor kwadratiese vergelykings tutor. Fokus ek op die vier maniere waarop hulle opgelos kan word. Faktorisering Te skryf in die vorm: \u00a0 &#8216;n volkome vierkant = &#8216;n getal &#8220;voltooiing van die vierkant&#8221; indien jy gevra word om dit so op te los \u00a0met die gebruik van die kwadratiese formule. x = -b [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","omw_enable_modal_window":"enable","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[9,17,4],"tags":[],"class_list":["post-21","post","type-post","status-publish","format-standard","hentry","category-algebra","category-graad-12","category-wiskunde","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Graad 12 Wiskunde - Algebra: Kwadratiese Vergelykings - Math &amp; Science for Grade 10, Grade 11 and Grade 12<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/comma.co.za\/afrikaans\/graad-12-wiskunde-algebra-kwadratiese-vergelykings\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graad 12 Wiskunde - Algebra: Kwadratiese Vergelykings - Math &amp; Science for Grade 10, Grade 11 and Grade 12\" \/>\n<meta property=\"og:description\" content=\"Wanneer ek leerders oor kwadratiese vergelykings tutor. 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