The sum of all real values of x satisfying the equation (x² - 5x + 5)^(x² + 4x - 60) = 1 is:

Complex Numbers and Quadratic Equations: JEE Main 2016 Mathematics question

JEE Main 2016 · Session, Shift 1 · Q5107

JEE Main 2016Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of all real values of

x

satisfying the equation

{\left( {{x^2} - 5x + 5} \right)^{{x^2} + 4x - 60}}\, = 1

is :

JEE Main 2016 · Session, Shift 1 · Q5107

JEE Main 2016Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The sum of all real values of

x

satisfying the equation

{\left( {{x^2} - 5x + 5} \right)^{{x^2} + 4x - 60}}\, = 1

is :