Question

if x= 1/2+√3 find value of 2x³-7x²-2x+1

Answer 1

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Solution
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$x = \frac{1}{2 + \sqrt{3} } \\ \\ < = = = = = = = = = = = = > \\ \\ rationalising : \\ \\ \: = > \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ = > \frac{2 - \sqrt{3} }{4 - 3} = 2 - \sqrt{3}$



→on putting this value in eq we have:


$2 {x}^{3} - 7 {x}^{2} - 2x + 1$

=>2(8-3√3-12√3+18)-7(4+3-4√3)-4+2√3+1

=>2(26-15√3)-7(7-4√3)-3+2√3

=>52-30√3-49+28√3-3+2√3

=>0


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hope it helps
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Answer 2

Hope its help you, My name is Aryan.