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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 - Mathematics

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प्रश्न

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

बेरीज

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Theory of Equations - Exercise 3.1 [पृष्ठ १०७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 3 Theory of Equations
Exercise 3.1 | Q 11 | पृष्ठ १०७
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