A 12 metre tall tree was broken into two parts. It was found that the

1.	A 12 metre tall tree was broken into two parts. It was found that the height of the part which was left standing was the cube root of the length of the part that was cut away. Formulate this into a mathematical problem to find the height of the part which was cut away.
Answer» Let the two parts be x and (12 – x) Given that x = \(\sqrt[3]{12 -x} \) Cubing on both side, x³ = 12 – x x³ + x – 12 = 0

A 12 metre tall tree was broken into two parts. It was found that the height of the part which was left standing was the cube root of the length of the part that was cut away. Formulate this into a mathematical problem to find the height of the part which was cut away.

Answer»

Let the two parts be x and (12 – x)

Given that x = \(\sqrt[3]{12 -x} \)

Cubing on both side, x³ = 12 – x

x³ + x – 12 = 0

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A 12 metre tall tree was broken into two parts. It was found that the height of the part which was left standing was the cube root of the length of the part that was cut away. Formulate this into a mathematical problem to find the height of the part which was cut away.

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