JEE Main 2021MathematicsQuadratic EquationEasyNumerical

JEE Main 2021 — Quadratic Equation Question with Solution

JEE Main 2021 (24 Feb Shift 2)

Question

The number of the real roots of the equation x+12+|x-5|=274 is ________.

Enter your answer

Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

Case-I

x≤5

x+12-x-5=274

x+12-x+1-34=0

x+1=32,-12

x=12,-32

Case-II

x>5

x+1+x-5=274

x+12+x+1-514=0

x=-1±522 (rejected as x>5)

So, the equation have two real root.

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 2021, 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.