Question

Solution of | x2 + 3x | + x2 – 22 0 is coln Nlco + cola (C) x ( ) (D)x(----- colo

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( left|x^{2}+3 xright|+x^{2}-2 geq 0 ) ( left|x^{2}+3 xright| geq 2-x^{2} ) ( x^{2}+3 x geq pmleft(2-x^{2}right) ) ( x^{2}+3 x geqleft(2-x^{2}right) quad x^{2}+3 x geq-left(2-x^{2}right) ) ( 2 x^{2}+3 x-2 geq 0 ) ( 2 x^{2}+4 x-x-2 geq 0 ) ( 2 x(x+2)-1(x+2) geq 0 ) ( (x+2)(2 x-1) geq 0 ) ( x geq-2, x geq 1 / 2 ) ( x in(-infty,-2 / 3] cup[1 / 21 infty) )