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CEMC Cayley, 2021 Difficulty 1.4 Junior Find the answer Canada
If x = 2 x=2 x = 2 y = x 2 − 5 y=x^2-5 y = x 2 − 5 z = y 2 − 5 z=y^2-5 z = y 2 − 5 z z z
Pick one
A − 6 -6 − 6 B − 8 -8 − 8 C 4 4 4 D 76 76 76 E − 4 -4 − 4
Solution Since x = 2 x=2 x = 2 y = x 2 − 5 y = x^2 - 5 y = x 2 − 5 y = 2 2 − 5 = 4 − 5 = − 1 y = 2^2 - 5 = 4 - 5 = -1 y = 2 2 − 5 = 4 − 5 = − 1
Since y = − 1 y=-1 y = − 1 z = y 2 − 5 z = y^2 - 5 z = y 2 − 5 z = ( − 1 ) 2 − 5 = 1 − 5 = − 4 z = (-1)^2 - 5 = 1 - 5 = -4 z = ( − 1 ) 2 − 5 = 1 − 5 = − 4
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