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# Quant Study Notes & Questions for SSC & Railway Exams : Quadratic Equation | Updated On February 11th, 2020 at 04:17 pm ## Important Notes On Average For SSC Exams :

Quantitative Aptitude is an equally important section for SSC CGLSSC CHSL, SSC MTS exams and has even more abundant importance in some other exams conducted by SSC. Generally, there are questions asked related to basic concepts and formulas of the Quadratic Equation.

To let you make the most of QUANT section, we are providing important facts related to the Quadratic Equation. Also, RRB NTPC 2019 Exam is nearby with bunches of posts for the interested candidates in which quantitative aptitude 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.

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