exam Maths Puzzle Numerical Ability

x^2 + x sqr rt of 2 - 2 = 0

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exam Other Question

Find the axis of symmetry:
y = x^2 - x + 10

I can not seem to understand this method, I did look back at some other ones, but felt it confused me even more, help please, thank you!!! 1/x+2 +1/2=1/x-2 - 2x/x^2-4