{"id":"cb_question_bank:fa401ee2-77ab-4c65-9dd2-c228e142396e","source_id":"cb_question_bank","source_item_id":"fa401ee2-77ab-4c65-9dd2-c228e142396e","external_id":"72653ce5-1c87-4942-ba7c-3afa5b87ce0e","ibn":null,"question_id":"3b4b8831","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.B.","skill":"Nonlinear equations in one variable and systems of equations in two variables","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"38 x squared equals 38 left parenthesis 9 right parenthesis What is the negative solution to the given equation?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: center;\"><math alttext=\"38 x squared equals 38 left parenthesis 9 right parenthesis\"><mrow><mn>38</mn></mrow><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mrow><mn>38</mn></mrow><mfenced><mrow><mn>9</mn></mrow></mfenced></math></p>\n<p style=\"text-align: left;\">What is the negative solution to the given equation?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"negative 3\"><mo>-</mo><mn>3</mn>\n</math>. Dividing both sides of the given equation&nbsp;by <math alttext=\"38\"><mn>38</mn>\n</math> yields <math alttext=\"x squared equals 9\"><mrow>\n\t<msup>\n\t\t<mi>x</mi>\n\t\t<mn>2</mn>\n\t</msup>\n\t<mo>=</mo>\n\t<mn>9</mn>\n</mrow>\n</math>. Taking the square root of both sides of this equation yields the solutions <math alttext=\"x equals 3\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>3</mn>\n</mrow>\n</math> and <math alttext=\"x equals negative 3\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mo>-</mo><mn>3</mn>\n</mrow>\n</math>. Therefore, the negative solution to the given equation is <math alttext=\"negative 3\"><mo>-</mo><mn>3</mn>\n</math>.</p>","correct_answer":["-3"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.823000+00:00","source_updated_at":"2023-08-02T20:25:59.823000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}