JEE Main 2016MathematicsQuadratic EquationEasyMCQ

JEE Main 2016 — Quadratic Equation Question with Solution

JEE Main 2016 (03 Apr)

Question

The sum of all real values of x satisfying the equation x2-5x+5x2+4x-60=1 is

Choose an option

Show full solutionCorrect option: C
Correct answer
C3

Step-by-step explanation

The given equation will be true in 3 cases.

Case 1: when x2-5x+5=1  

⇒x2-5x+4=0

⇒x=1, 4

Case 2: when x2+4x-60=0

⇒x=6, -10

Case 3: when x2-5x+5=-1 and x2+4x-60∈ even integers

Now, x2-5x+5=-1    

⇒x=2, 3

Only x=2 satisfies the given condition,

Hence, sum of all real values of x is 1+4+6-10+2=3 

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Quadratic Equation chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2016, covering the Quadratic Equation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.