Important Concepts of Quadratic Equations For RRB Stage - II



Mathematics is an equally important section for RRB Stage II exam and has an even more abundant importance in some other exams conducted by RRB & SSC. Generally, there are questions asked related to basic concepts and formulas of Quadratic Equations. 

To let you make the most of Mathematics section, we are providing important facts related to Quadratic Equations. Also, Railway Exam Stage II is nearby with bunches of posts for the interested candidates in which Mathematics is a major part. We have covered important notes and questions focusing on these prestigious exams. We wish you all the best of luck to come over the fear of Mathematics section.

Quadratic Equations

Quadratic Equations

An algebraic expression of the form: ax² + bx + c = 0, where a ≠ 0, b, c ∈ R is called a quadratic equation.

Roots of the Quadratic Equation:

A root of the quadratic equation ax² + bc + c = 0 is a number α (real or complex) such that a a²+ba+c=0 then (x-a) is factor of ax²+bx+c. The roots of the quadratic equation are

x=(-b±√(b²-4ac))/2a

Nature of Roots:

The value of x at which value of equation will be zero.

Roots are imaginary: b² – 4ac ≤ 0
Roots are real: b² – 4ac ≥ 0


Sum & product of root: 

Let there are two roots named α & β, then

a=(-b+√(b²-4ac))/2a  & β=(-b-√(b²-4ac))/2a

Sum of root: α + β = (-b)/a
Product of root: αβ = c/a

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