self Maths Puzzle

if x^2 + y^2 - 2x + 1 = 0 then the value of x^44 + y^47

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self Other Question

to get the ratio p:q one has to subtract from each term of the ratio x:y, the number a)(qx-py)/(q-p) b)(qx+py)/(q-p) c)(qx+py)/(q+p) d)(qx-py)/(q+p) get 1000 by using eight 8s.