exam Maths Puzzle Numerical Ability

what is the function of f(x)=2[[x]] and what the domain and range

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Hi I am bnot sure how to do these two problems. I hope some one can help me. Thank you very much.

1. Solve by factoring:
x2 – 9x = -8

2. Solve using the square root property:
2x2 – 5 = 93
the greater of two consecutive even integers is six less than twice the smaller.