book Maths Puzzle Numerical Ability

I think I did this one right
solve by factoring
5x^2-19x+18=0
5x^2-10x-9x+18=0
5x(x-2)-9(x-2)=0
x-2=0 5x-9=0

x=2 x=1/4

is this the correct ans.

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book Other Question

I am having trouble with these two problems. I can get half way but then I am confused on how to solve them. If someone can help I will greatly appreciate it. Thanks

x^2-4x=1 graph: y = 3 sin 2theta