The sum of the squares of the roots of |x + 2|² + |x - 2| - 2 = 0 and the squares of the roots of x² - 2|x - 3| - 5 = 0, is:

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q206

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of the squares of the roots of

|x + 2|^2 + |x - 2| - 2 = 0

and the squares of the roots of

x^2 - 2|x - 3| - 5 = 0

, is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q206

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of the squares of the roots of

|x + 2|^2 + |x - 2| - 2 = 0

and the squares of the roots of

x^2 - 2|x - 3| - 5 = 0

, is: