Please help finding solution to below problem :

Value of X in : sqrt(x^2-7x+10) + 9 log₄ (x/8)>= 2x+ sqrt(14x-20-2x^2) – 13 is …...

according to me value of  x=2 is the solution of equation

as  x=2 is the root of both quadratic equations we get an inequality that is always true

Thanks for your response. However, there are 2 roots of both the quardatic equatios- (5 and 2), right.

So why only does 2 become the answer – Can you please explain. At x=2, when both the SQRT becomes 0 , the equation becomes equal on both sides...

Is there any other way to solve such type of problems..