{"id":285150,"date":"2022-09-10T17:53:52","date_gmt":"2022-09-10T12:23:52","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-roots-of-the-equation-x2-%e2%88%92-3x-%e2%88%92-m-m-3-0-where-m-is-a-constant-are-____\/"},"modified":"2023-07-18T17:02:23","modified_gmt":"2023-07-18T11:32:23","slug":"question-mathematics-the-roots-of-the-equation-x2-3x-m-m-3-0-where-m-i","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/the-roots-of-the-equation-x2--3x--m-m--3--0-where-m-i\/","title":{"rendered":"The roots of the equation x^2 &#8211; 3x &#8211; m(m + 3) = 0, where m is a constant, are ____."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"x ^ 2 - 3x - m(m + 3)","_yoast_wpseo_title":"The roots of the equation x^2 - 3x - m(m + 3) = 0, where m is a constant","_yoast_wpseo_metadesc":"The roots of the equation x^2 - 3x - m(m + 3) = 0, where m is a constant, are ____. quadratic equation are \u2212m and m + 3","custom_permalink":"question\/mathematics\/the-roots-of-the-equation-x2--3x--m-m--3--0-where-m-i\/"},"categories":[],"acf":{"question":"<p><span>The roots of the equation <i>x<\/i><sup>2<\/sup> \u2212 3<i>x<\/i> \u2212 <i>m<\/i> (<i>m<\/i> + 3) = 0, where <i>m<\/i> is a constant, are ____.<\/span><\/p>","options":[{"option":"<p><span>\u2212<i>m<\/i> and <i>m<\/i> + 3&nbsp;<\/span><\/p>","correct":true},{"option":"<p><span><i>m<\/i> and <i>m<\/i> - 3&nbsp;<\/span><\/p>","correct":false},{"option":"<p><span><i>2m<\/i> and <i>m<\/i> - 3&nbsp;<\/span><\/p>","correct":false},{"option":"<p><span><i>m<\/i> and <i>m<\/i> + 6&nbsp;<\/span><\/p>","correct":false}],"solution":"<p><span>The given quadratic equation is <i>x<\/i><sup>2<\/sup> \u2212 3<i>x<\/i> \u2212 <i>m<\/i> (<i>m<\/i> + 3) = 0.&nbsp;<\/span><\/p><p><span><i>x<\/i><sup>2<\/sup> \u2212 [(<i>m<\/i> + 3) - <i>m<\/i>]<i>x<\/i> \u2212 <i>m<\/i> (<i>m<\/i> + 3) = 0&nbsp;<\/span><\/p><p><span><i>x<\/i><sup>2<\/sup> \u2212 (<i>m<\/i> + 3)<i>x<\/i> + <i>mx<\/i> \u2212 <i>m<\/i> (<i>m<\/i> + 3) = 0&nbsp;<\/span><\/p><p><span><i>x<\/i>{<i>x<\/i> - (<i>m<\/i> + 3)} + <i>m<\/i>{<i>x<\/i> - (<i>m<\/i> + 3)} = 0&nbsp;<\/span><\/p><p><span>(<i>x<\/i> + <i>m<\/i>)(<i>x<\/i> - (<i>m<\/i> + 3)) = 0&nbsp;<\/span><\/p><p><span><i>x<\/i> = -<i>m<\/i> or <i>m<\/i> + 3&nbsp;<\/span><\/p><p><span>Thus, the roots of the given <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/quadratic-equations\/\">quadratic equations<\/a>\r\n are \u2212<i>m<\/i> and <i>m<\/i> + 3.&nbsp;<\/span><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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