( Algebra )
Let a and b be the roots of the equation in R, then what is the value of a + b?
[tex]\Large \text{$ \sf \left(\dfrac{30}{x * [\:\sqrt[\sf 3]{\sf 35 - x^3}\:]}\right) = x + \sqrt[\sf 3]{\sf 35 - x^3}$}[/tex]
Please demonstrate your reasoning clearly! Calculator, copy or AI resolutions will be disregarded!