CBSE · Class 10 · Mathematics · Quadratic EquationsFind the roots of the quadratic equation x² - 3x - 10 = 0 by factorization.
Step-by-Step Solution
To find the roots of the quadratic equation x² - 3x - 10 = 0 using factorization, we split the middle term -3x into two parts whose sum is -3 and product is -10. These numbers are -5 and +2. Rewriting the equation gives x² - 5x + 2x - 10 = 0. Grouping terms yields x(x - 5) + 2(x - 5) = 0, which factors into (x - 5)(x + 2) = 0. Setting each factor to zero gives the roots as x = 5 and x = -2.
💡 Study Guide: This question tests core syllabus concepts from Quadratic Equations. For formulas, key summaries, and mock exam reference guides, read the full Quadratic Equations Revision Notes.