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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 forÂ SSC CGL,Â SSCÂ CHSL,Â SSC MTSÂ exams and has even more abundant importance in some other exams conducted byÂ SSC. Generally,Â there are questions asked related to basic concepts and formulas of the Quadratic Equation.

To let you make the most of QUANT section,Â we are providingÂ importantÂ facts relatedÂ to the Quadratic Equation.Â Also,Â RRB NTPC 2019 ExamÂ is nearby with bunches of posts for the interested candidates in whichÂ quantitative aptitudeÂ is a major part. We have covered important notes and questions focusing on these prestigious exams.Â We wish you all the best of luck to come over the fear of Mathematics section.

An algebraic expression of the form: axÂ² + bx + c = 0, where a â‰  0, b, c âˆˆ R is called a quadratic equation.
A root of the quadratic equation axÂ² + bc + c = 0 is a number Î± (real or complex) such that a aÂ²+ba+c=0 then (x-a) is factor of axÂ²+bx+c. The roots of the quadratic equation are
x=(-bÂ±âˆš(bÂ²-4ac))/2a
Nature of Roots:
The value of x at which value of equation will be zero.
Roots are imaginary: bÂ² â€“ 4ac â‰¤ 0
Roots are real: bÂ² â€“ 4ac â‰¥ 0
Sum & product of root:Â
Let there are two roots named Î± & Î², then
a=(-b+âˆš(bÂ²-4ac))/2aÂ  & Î²=(-b-âˆš(bÂ²-4ac))/2a
Sum of root: Î± + Î² = (-b)/a
Product of root: Î±Î² = c/a

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