📌 1. Chapter Overview
A quadratic equation is an equation of the form ax² + bx + c = 0.
This chapter is very important for board exams and numerical-based questions.
📌 2. Standard Form (Must Remember ⭐)
ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
Where:
a≠0
a, b, c are real numbers
📌 3. Methods to Solve Quadratic Equations
🔹 (A) Factorization Method
Steps:
1. Make the coefficient of x² positive
2. Split the middle term
3. Factorize
4. Equate each factor to zero
🔹 (B) Quadratic Formula (Most Important ⭐⭐)
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
👉 This formula works for ALL quadratic equations.
📌 4. Discriminant (Very Important for MCQs)
A quadratic equation is an equation of the form ax² + bx + c = 0.
This chapter is very important for board exams and numerical-based questions.
📌 2. Standard Form (Must Remember ⭐)
ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
Where:
a≠0
a, b, c are real numbers
📌 3. Methods to Solve Quadratic Equations
🔹 (A) Factorization Method
Steps:
1. Make the coefficient of x² positive
2. Split the middle term
3. Factorize
4. Equate each factor to zero
🔹 (B) Quadratic Formula (Most Important ⭐⭐)
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
👉 This formula works for ALL quadratic equations.
📌 4. Discriminant (Very Important for MCQs)
