JEE Main202524 Jan 2025Evening ShiftMathematicsFunctionsActual

The number of real solution(s) of the equation x^2+3 x+2= |x-3|,|x+2| is :

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Correct answer

C. 2

Step-by-step solution

x^2+3 x+2= |x-3|,|x+2| aligned & y=x^2+3 x+2 & y=x^2+2 ( 3 2 ) x+ 9 4 - 9 4 +2 & y= (x+ 3 2 )^2- 1 4 & y+ 1 4 = (x+ 3 2 )^2 & Parabola vertex ( -3 2 , -1 4 ) aligned By graph 2 solution possible

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