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ASMO Math 2022 — Grade 11 — School Round Question 12

ASMO Maths · ASMO Math 2022 — Grade 11 — School Round

Question 12

Given

$$z=y^3(4y^2+2y-1)+4y^2+4\sqrt{5}\,y-14$$

and

$$y=\frac{1}{1-\sqrt{5}},$$

find the exact value of $z$.

Question illustration