# How do you factor 2x^2 - 3 = 10?

Jun 30, 2016

$x = \pm \sqrt{\frac{13}{2}}$
Equation $2 {x}^{2} - 3 = 10$ can be written as $2 {x}^{2} = 10 + 3$ =>
$2 {x}^{2} = 10 + 3$ => $2 {x}^{2} = 13$ = > ${x}^{2} = \frac{13}{2}$
$x = \pm \sqrt{\frac{13}{2}}$
{"ft_lang_label":"__label__en","ft_lang_prob":0.5812689,"math_prob":1.00001,"size":301,"snap":"2019-51-2020-05","text_gpt3_token_len":116,"char_repetition_ratio":0.121212125,"word_repetition_ratio":0.036363635,"special_character_ratio":0.44850498,"punctuation_ratio":0.06779661,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000082,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-07T16:26:05Z\",\"WARC-Record-ID\":\"<urn:uuid:e9da70c9-9533-4f7f-b259-1f7124ef8462>\",\"Content-Length\":\"32466\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f1af7587-04ef-4b54-97d8-d5eb3799dde5>\",\"WARC-Concurrent-To\":\"<urn:uuid:c085acda-28f3-4ceb-9b4d-03058e3a2276>\",\"WARC-IP-Address\":\"54.221.217.175\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-factor-2x-2-3-10\",\"WARC-Payload-Digest\":\"sha1:WE6FBRBT6HBS5BYBHBQNGYHPPAGLAZ2V\",\"WARC-Block-Digest\":\"sha1:TNR5CXM56BMSVTE4HDDKDL767I7BHMFV\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540500637.40_warc_CC-MAIN-20191207160050-20191207184050-00445.warc.gz\"}"}