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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Answer:
total height of tree =12m
1 part lenght=a
Explanation:
2part length ³√a
total height : a +³√a=12
³√a=12-a
cubing both side
a=(12-a) ³
a=144+a³-24a
a³-25a+144=0
by factorisation method find zeros
a=9
height of part cut away =9m
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