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Tamil Nadu Board of Secondary EducationHSC Science Class 12

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 - Mathematics

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Question

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 left standing

Sum

Solution

Let the height of the tree = 12

Length of the cut part = x3

Length of left out part =  `root(3)(x^3)`

= x

Given x + x3 = 12

x3 + x – 12 = 0

Which is required mathematical problem

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Vieta’s Formulae and Formation of Polynomial Equations
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Chapter 3: Theory of Equations - Exercise 3.1 [Page 107]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 3 Theory of Equations
Exercise 3.1 | Q 11 | Page 107
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