Question

I need to solve this equation
[ False will be reported ]​

Answer 1

`x-108\sqrt x+108=0\qquad(D:x\geq0)\\\\t=\sqrt x\\\\t^2-108t+108=0\\t^2-108t+2916-2808=0\\(t-54)^2=2808\\t-54=√(2808) \vee t-54=-√(2808)\\t=54+6√(78) \vee t=54-6√(78)\\\\54+6√(78)=\sqrt x\\x=2916+648√(78)+2808=5724+648√(78)\\\\54-6√(78)=\sqrt x\\x=2916-648√(78)+2808=5724-648√(78)\\\\\boxed{x\in\left\{5724-648√(78),5724+648√(78)\right\}}`