solve and check?

Question

(sqrt)a+11=a-1

Answer 1

Is it sqrt(a+11)? or sqrt(a) + 11?

That is, is the 11 under the sqrt or not?

Answer 2

(sqrt)16+11=16-1

4+11=16-1

15=15 Job done

Answer 3

if by this you mean



sqrt(a + 11) = a - 1



square both sides



a + 11 = (a - 1)^2



a + 11 = (a - 1)(a - 1)



a + 11 = a^2 - a - a + 1



a + 11 = a^2 - 2a + 1



a^2 - 3a - 10 = 0



(a - 5)(a + 2) = 0



answer a = 5 or -2



when you plug in -2, think -sqrt(a + 11) to get the other side equal.

Answer 4

sqrt(a) = a - 12

a = (a - 12)^2

a = a^2 - 24a + 144

====> a^2 - 25a + 144 = 0

====> (a - 16)(a - 9) = 0

a = 16