how do i do this by completing the square?

Question

my teacher asked us to solve for the value of "a"..

given:5a+2 all over 3 and 2a square root of 5 all over 4...

and then after she gave the given, she told us to solve for "a" by COMPLETING THE SQUARE...

i made all i know about completing the square, but i still dont know the answer..

can someone help me to solve this problem...

pls... pls... pls... pls... pls... pls.. pls... pls.. pls... pls...

Answer 1

I'm guessing that she stated that
(5*a+2)/3 = (2*a*5^1/2)/4

first, clear the denominators:
20*a+8=6*a*5^1/2

By traditional definition, the square is already complete since all of the variable are expressed in the same power.
So I would just say a=8/(20-6*5^1/2)
Which can be reduced:
a=4/(5-3*5^1/2)

Answer 2

PI