Question

Solve: (picture below)

Answer 1

squaring both sides we get

2a^2 + 5a + 2 = 9

2a^2 + 5a - 7 = 0

(2a + 7)(a - 1) = 0

a = -7/2, 1

Checking:-

a = 1:-

(2 + 5 + 2) ^1/2 = 3 so 1 is one solution

a = -7/2 :-

(2(-7/2)^2 + 5(-7/2) + 2)^1/2 = 3 so -7/2 is also a root

So its choice 3