# What kind of Sorcery is this ?

Algebra Level 5

Consider: $a = \sqrt{x^2 -5x +6}$ $b = \sqrt{x^2 -5x +4}$

Such that,

$\left( a + b \right)^{\dfrac{x}{2}} + \left( a - b \right)^{\dfrac{x}{2}} = 2^{ \left( \dfrac{x+4}{4} \right) }$

Find the predecessor of the sum of all values of x satisfying the given equation.

Question inspired from: Cengage - Algebra

×