NCERT · Class 10 · Mathematics · Quadratic EquationsFind the discriminant of the quadratic equation 2x² - 4x + 3 = 0.
Step-by-Step Solution
To find the discriminant of the given quadratic equation 2x² - 4x + 3 = 0, we first compare it with the standard form ax² + bx + c = 0. By doing this comparison, we easily identify the coefficients as a = 2, b = -4, and c = 3. Now, we substitute these numerical values directly into the discriminant formula D = b² - 4ac. Substituting the values gives D = (-4)² - 4(2)(3), which simplifies to 16 - 24, resulting in a final calculated discriminant value of -8.
💡 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.