#1**+1 **

The first equation:

Subtract 3 from both sides: \(a-3= \sqrt{5a-9}\)

Square both terms: \(a^2-6a+9=5a-9\)

Bring everything to the left-hand side: \(a^2 -11a+18=0\)

Factor: \((a-9)(a-2)=0\)

This means \(a = 2\) or \(a = 9\)

Plugging these in to check, we find that \(\color{brown}\boxed{a=2}\)

Repeat the steps for the 2nd equation, and feel free to ask if you need any help!

BuilderBoi Apr 24, 2022