Quadratic Equation for SBI PO Exam

Quadratic equations are an important topic in the quantitative aptitude section of the SBI PO mains exam. Here’s what you need to know about quadratic equations and how they might be tested in the exam:

1. Understanding Quadratic Equations:
   • A quadratic equation is a second-degree polynomial equation in a single variable. It has the form: ax2+bx+c=0ax2+bx+c=0, where $a$, $b$, and $c$ are constants, and $x$ is the variable.
   • Quadratic equations can have two real roots, one real root (when the discriminant b2−4ac=0b2−4ac=0), or no real roots (when the discriminant is negative).
2. Types of Questions:
   • Solving Quadratic Equations: Candidates may be asked to solve quadratic equations to find the values of $x$ that satisfy the equation.
   • Finding Roots: Candidates may need to find the roots of a given quadratic equation using methods like factorization, completing the square, or using the quadratic formula.
   • Nature of Roots: Questions may be asked to determine whether the roots of a quadratic equation are real or complex based on the value of the discriminant.
   • Word Problems: Quadratic equations may be presented in the form of word problems, where candidates need to formulate the equation and solve it to find the required solution.
3. Tips for Solving Quadratic Equations:
   • If the quadratic equation can be factored easily, factorization method can be used.
   • If factorization is not feasible, the quadratic formula can be applied: x=−b±b2−4ac2ax=2a−b±b2−4ac