JEE Main 202623 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If α\alphaα and β\betaβ (α<β)(\alpha<\beta)(α<β) are the roots of the equation (−2+3)(∣x−3∣)+(x−6x)+(9−23)=0(-2+\sqrt3)(|\sqrt x-3|)+(x-6\sqrt x)+(9-2\sqrt3)=0(−2+3)(∣x−3∣)+(x−6x)+(9−23)=0, x≥0x\ge0x≥0, then βα+αβ\sqrt{\frac{\beta}{\alpha}}+\sqrt{\alpha\beta}αβ+αβ is equal to :AOption A. 11BOption B. 9COption C. 10DOption D. 8CheckSkip · show solution
