Quadratic equation | Class 10 | introduction | CBSE | STATE BOARD
This video provides an introduction to quadratic equations for Class 10 students, emphasizing that it's an important and relatively easy chapter (0:06). Here's a breakdown of the key concepts discussed: Linear vs. Quadratic Equations (0:22-1:22): The video begins by reviewing linear equations, which have a single variable with a maximum power of one (e.g., 2x - 3 = 0). It then contrasts this with quadratic equations, where the maximum power of the variable is two. Quadratic Polynomials and Equations (3:45-4:50): A quadratic polynomial is defined as one where the maximum degree or power is two, typically in the form ax² + bx + c. When this polynomial is equated to zero (ax² + bx + c = 0), it becomes a quadratic equation. Identifying a Quadratic Equation (5:01-5:22): The key characteristic of a quadratic equation is that the maximum power of the single variable (e.g., 'x') is two. Example Application (5:25-9:01): The presenter uses a real-world example of a rectangular plot of land to demonstrate how a quadratic equation can be formed (x² - 3x - 340 = 0). Finding Roots/Solutions (8:39-12:41): Unlike linear equations which have one solution, quadratic equations have two solutions, referred to as roots. The video shows how to find these roots using the middle term splitting method (9:42). For the example equation x² - 3x - 340 = 0, the roots are found to be x = 20 and x = -17 (11:15-11:17). Another example, 2x² - 7x + 6 = 0, is solved, yielding roots of x = 2 and x = 3/2 (14:30-14:36). Conditions for a Quadratic Equation (Standard Form) (16:01-20:06): The standard form of a quadratic equation is ax² + bx + c = 0. A crucial condition is that 'a' cannot be zero (a ≠ 0) (16:12). If 'a' were zero, the x² term would disappear, turning it into a linear equation (16:19-16:31). However, 'b' and 'c' can be zero (16:33-19:58). The video provides examples where: b = 0 (e.g., 2x² - 3 = 0) (16:36-17:26) c = 0 (e.g., 2x² + 3x = 0) (17:36-18:15) both b = 0 and c = 0 (e.g., 2x² = 0) (18:51-19:58) In all these cases, the equation remains quadratic because the maximum power of 'x' is still two.In This Video :- 10th math chapter 4 exercise 4.1 dighat samikaran class 10 quadratic equation class 10th maths chapter 4 bihar board class 10th math chapter 4 class 10 maths chapter 4 quadratic equation class 10 math chapter 4 bihar board math class 10 chapter 4 cbse board class 10th maths chapter 4 formulas bihar board maths class 10 chapter 4 bihar board class 10 maths chapter 4 cbse board bihar board class 10 maths chapte bihar board 2026 class 10 maths chapter 4 quadratic equations class 10 bihar board 10th math chapter 4 one shot revision bihar board ✅Tags :- #10th_math_chapter_4_exercise_4_1 #dighat_samikaran_class_10 #quadratic_equation_class_10th_maths_chapter_4 #bihar_board_class_10th_math_chapter_4 #class_10_maths_chapter_4_quadratic_equation #class_10_math_chapter_4_bihar_board #class_10_maths_chapter_4_bihar_board #bihar_board_class_10_maths_chapter_4 #bihar_board_2026_class_10_maths_chapter_4 #quadratic_equations_class_10_bihar_board #cbse #cbseboard #cbse #education #cbse #khansir #maths #mathstricks #trending #coordinate_geometry_chapter_7_class_10th #youtubeshorts #coordinate_geometry_class_10 #class10th #algebra #mathematics
