book Maths Puzzle Numerical Ability

How can i solve by completing the square? I know a bit how but i just need some help!

X^2-X-1=0

X^2-X=1

X^2-x/2=1/2

X^2-x/2+(-1/4)^2=1/2+(-1/4)^2

I get lost here can some one help me solve or make any corrections THNX!

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book Other Question

Two trains start form the same place at the same time heading in directly opposite directions. One train averages 65 mph, and the other train averages 75 mph. After how long will I am having difficulty with another graphing problem I hope you can help me

(x+2)^2/25-(y+5)^2/16=1