3.25: Find kk in y=kx2y=kx^{2} with surd data

0606/23/M/J/22 — Question 2 · 4 marks

Do not use a calculator in this question.

Variables xx and yy are related by y=kx2y=kx^{2}. When x=1+2x=1+\sqrt{2}, y=12y=1-\sqrt{2}. Find kk in the form ab+c\dfrac{a}{b+c} where a,b,ca,b,c are integers.
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