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The page lists multiple equations with variables in squared form and constant terms, including cases that yield two opposite square-root solutions and cases with no solution when the radicand is not valid. Exercises cover different coefficients and signs, asking learners to determine the real solutions using square-root extraction and appropriate reasoning for each equation.",{"@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-with-square-roots-worksheet/522545/",{"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-with-square-roots-worksheet/522545.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","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 do these problems use to solve the quadratic equations?","Question",{"text":113,"@type":114},"Each problem is solved by taking square roots.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Why do some equations show “No solution”?",{"text":118,"@type":114},"“No solution” appears when the equation leads to an invalid square-root value in the real numbers.",{"name":120,"@type":111,"acceptedAnswer":121},"How are the solutions presented when square roots exist?",{"text":122,"@type":114},"When solutions exist, the worksheet lists two opposite values in curly braces, such as {a, −a}.","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},522545,1791490424,{"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},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 1 Name   \nSolving Quadratic Equations with Square Roots Date  Period   \nSolve each equation by taking square roots.  \n1) k2 = 76 2) k2 = 16  \n3) x 2 = 21 4) a 2 = 4  \n5) x 2 + 8 = 28 6) 2n2 = −144  \n7) −6m2 = −414 8) 7x2 = −21  \n9) m 2 + 7 = 88 10) −5x2 = −500  \n11) −7n2 = −448 12) −2k2 = −162  \n13) x 2 − 5 = 73 14) 16n2 = 49  \n15) n 2 − 5 = −4 16) n 2 + 8 = 80  \n17) 7v2 + 1 = 29 18) 10n2 + 2 = 292  \n19) 2m2 + 10 = 210 20) 9n2 + 10 = 91  \n21) 5n2 − 7 = 488 22) 8n2 − 6 = 306  \n23) 10n2 − 10 = 470 24) 8n2 − 4 = 532  \n25) 4r2 + 1 = 325 26) 8b2 − 7 = 193  \n27) 2k2 − 2 = 144 28) 3 − 4x2 = −85  \nKuta Software-Infinite Algebra 1 Name   \nSolving Quadratic Equations with Square Roots Date  Period   \nSolve each equation by taking square roots.  \n1) k2 = 76 2) k2 = 16  \n{8.717, −8.717} {4, −4}  \n3) x 2 = 21 4) a 2 = 4  \n{4.582, −4.582} {2, −2}  \n5) x 2 + 8 = 28 6) 2n2 = −144  \n{4.472, −4.472} No solution.  \n7) −6m2 = −414 8) 7x2 = −21  \n{8.306, −8.306} No solution.  \n9) m 2 + 7 = 88 10) −5x2 = −500  \n{9, −9} {10, −10}  \n11) −7n2 = −448 12) −2k2 = −162  \n{8, −8} {9, −9}  \n13) x 2 − 5 = 73 14) 16n2 = 49  \n{8.831, −8.831} {1.75, −1.75}  \n15) n 2 − 5 = −4 16) n 2 + 8 = 80  \n{1, −1} {8.485, −8.485}  \n17) 7v2 + 1 = 29 18) 10n2 + 2 = 292  \n{2, −2} {5.385, −5.385}  \n19) 2m2 + 10 = 210 20) 9n2 + 10 = 91  \n{10, −10} {3, −3}  \n21) 5n2 − 7 = 488 22) 8n2 − 6 = 306  \n{9.949, −9.949} {6.244, −6.244}  \n23) 10n2 − 10 = 470 24) 8n2 − 4 = 532  \n{6.928, −6.928} {8.185, −8.185}  \n25) 4r2 + 1 = 325 26) 8b2 − 7 = 193  \n{9, −9} {5, −5}  \n27) 2k2 − 2 = 144 28) 3 − 4x2 = −85  \n{8.544, −8.544} {4.69, −4.69}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaifL8IHN1XSjs","https://ap.wps.com/l/cbCaifL8IHN1XSjs","pdf",31755,"English","# Solve each equation by taking square roots","[{\"question\":\"What method do these problems use to solve the quadratic equations?\",\"answer\":\"Each problem is solved by taking square roots.\"},{\"question\":\"Why do some equations show “No solution”?\",\"answer\":\"“No solution” appears when the equation leads to an invalid square-root value in the real numbers.\"},{\"question\":\"How are the solutions presented when square roots exist?\",\"answer\":\"When solutions exist, the worksheet lists two opposite values in curly braces, such as {a, −a}.\"}]","Solving Quadratic Equations with Square Roots - Worksheet | PDF",1791425902]