[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522739-105":59,"doc-detail-522739-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","solving-quadratic-equations-by-completing-the-square-worksheets","Solving Quadratic Equations by Completing the Square - Worksheets","","A worksheet for practicing solving quadratic equations using the completing the square method. It provides multiple linear-in-variable quadratic equations with varied coefficients and constants, then lists solutions in ordered pairs, including real roots and complex roots with imaginary terms. Students are prompted to solve each equation and match the resulting root values, reinforcing algebraic manipulation and square-completion accuracy.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solving-quadratic-equations-by-completing-the-square-worksheets/522739/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solving-quadratic-equations-by-completing-the-square-worksheets/522739.png","ImageObject",300,407,{"name":92,"@type":93},"\tCallum ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What method does this worksheet use to solve the equations?","Question",{"text":113,"@type":114},"It uses the completing the square method to transform each quadratic into a solvable form.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are the equations limited to real-number answers?",{"text":118,"@type":114},"No. Several problems include complex solutions involving imaginary terms.",{"name":120,"@type":111,"acceptedAnswer":121},"How should students respond to each problem?",{"text":122,"@type":114},"Students solve each given quadratic and determine the corresponding roots listed as solution pairs.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},522739,1791482618,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},137451211410,"https://ap-avatar.wpscdn.com/avatar/2000bb0a9246f588df?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786362646172706240","Kuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Quadratic Equations By Completing the SquareDate________________ Period____  \nSolve each equation by completing the square.  \n1) p 2 + 14 p − 38 = 0 2) v 2 + 6v − 59 = 0  \n3) a 2 + 14a − 51 = 0 4) x 2 − 12x + 11 = 0  \n5) x 2 + 6x + 8 = 0 6) n 2 − 2n − 3 = 0  \n7) x 2 + 14x − 15 = 0 8) k2 − 12k + 23 = 0  \n9) r2 − 4r − 91 = 7 10) x 2 − 10x + 26 = 8  \n11) k2 − 4k + 1 = −5 12) b 2 + 2b = −20  \n13) v 2 − 6v = −91 14) n 2 = 18n + 40  \n15) 5k2 = 60 − 20k 16) 6x2 − 48 = −12x  \n17) 8x2 + 16x = 42 18) 9n2 + 79 = −18n  \n19) 2a2 = −6 + 8a 20) 2x2 − 5x + 67 = 0  \n21) 4n2 + 4n + 36 = 0 22) 7k2 − 16k + 100 = 0  \n23) 10 p2 + 4 p + 77 = 9 24) 3x2 = −4 + 8x  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Quadratic Equations By Completing the SquareDate________________ Period____  \nSolve each equation by completing the square.  \n1) p 2 + 14 p − 38 = 0 2) v 2 + 6v − 59 = 0  \n{−7 + 87 , −7 − 87 } {−3 + 2 17 , −3 − 2 17 }  \n3) a 2 + 14a − 51 = 0 4) x 2 − 12x + 11 = 0  \n{3, −17} {11, 1}  \n5) x 2 + 6x + 8 = 0 6) n 2 − 2n − 3 = 0  \n{−2, −4} {3, −1}  \n7) x 2 + 14x − 15 = 0 8) k2 − 12k + 23 = 0  \n{1, −15} {6 + 13 , 6 − 13 }  \n9) r2 − 4r − 91 = 7 10) x 2 − 10x + 26 = 8  \n{2 + 102 , 2 − 102 } {5 + 7 , 5 − 7 }  \n11) k2 − 4k + 1 = −5 12) b 2 + 2b = −20  \n{2 + i 2 , 2 − i 2 } {−1 + i 19 , −1 − i 19 }  \n13) v 2 − 6v = −91 14) n 2 = 18n + 40  \n{3 + i 82 , 3 − i 82 } {20, −2}  \n15) 5k2 = 60 − 20k 16) 6x2 − 48 = −12x  \n{2, −6} {2, −4}  \n17) 8x2 + 16x = 42 18) 9n2 + 79 = −18n  \n{~~ ~~32~~ ~~ , − ~~ ~~72~~ ~~ } {~~ ~~−3~~ ~~+~~ ~~i3~~ ~~70~~ ~~ , −3~~ ~~−~~ ~~i3~~ ~~70~~ ~~ }  \n19) 2a2 = −6 + 8a 20) 2x2 − 5x + 67 = 0  \n{3, 1} {~~ ~~5~~ ~~+~~ ~~i4~~ ~~511~~ ~~ , ~~ ~~5~~ ~~−~~ ~~i4~~ ~~511~~ ~~ }  \n21) 4n2 + 4n + 36 = 0 22) 7k2 − 16k + 100 = 0  \n{~~ ~~−1~~ ~~+~~ ~~i2~~ ~~35~~ ~~ , −1~~ ~~−~~ ~~i2~~ ~~35~~ ~~ } {~~ ~~8~~ ~~+~~ ~~2i7~~ ~~159~~ ~~ , ~~ ~~8~~ ~~−~~ ~~2i7~~ ~~159~~ ~~ }  \n23) 10 p2 + 4 p + 77 = 9 24) 3x2 = −4 + 8x  \n{~~ ~~−1~~ ~~+5~~ ~~13i~~ ~~ , −1~~ ~~−5~~ ~~13i~~ ~~ } {2, ~~ ~~23~~ ~~ }  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiiIucEtP3tf0","https://ap.wps.com/l/cbCaiiIucEtP3tf0","pdf",34907,"English","# Solve each equation by completing the square\n## Questions 1-24","[{\"question\":\"What method does this worksheet use to solve the equations?\",\"answer\":\"It uses the completing the square method to transform each quadratic into a solvable form.\"},{\"question\":\"Are the equations limited to real-number answers?\",\"answer\":\"No. Several problems include complex solutions involving imaginary terms.\"},{\"question\":\"How should students respond to each problem?\",\"answer\":\"Students solve each given quadratic and determine the corresponding roots listed as solution pairs.\"}]","Solving Quadratic Equations by Completing the Square - Worksheets | PDF",1791426113]