Question

sqrt t (sqrt t - 6) = -9

Answer 1

let sqrt(t) =x
solve for x now and then find t from x

Answer 2

\[x(x-6) = -9; where x =\sqrt t\]
Hope you can do the rest

Answer 3

continue ...

x(x-6)=-9

x^2 -6x = -9

x^2 -6x +9 =0

(x-3)(x-3)=0

(x-3)^2 =0

x-3 = 0

x = 3

Answer 4

so than continue

x= sqrt(t) squared both sides you get

x^2 = t

3^2 = t

t = 9