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Class X Mathematics

Chapter 4: Quadratic Equations

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Solving roots with formula

Find the roots of: 2x² - 5x + 3 = 0.
root αroot βy = ax² + bx + c

Calculation Steps:

  1. 1Identify coefficients: a = 2, b = -5, c = 3.
  2. 2Compute Discriminant: D = b² - 4ac = (-5)² - 4(2)(3) = 25 - 24 = 1.
  3. 3Substitute into the quadratic formula: x = (5 ± √1) / 4.
  4. 4Calculate roots: x = (5 + 1)/4 = 1.5, and x = (5 - 1)/4 = 1.
Solutionx = 1.5, x = 1