x2 -5x+1=0 হলে x3+1x3 =?

Question

Shohan

9 views

2025-01-04 04:42

1 Answers

2x-2x=3 হলে দেখাও যে 8x3-1x3=63.

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x+1x=2 হলে x3+1x3=?

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x - 1x = 3 হলে x3 - 1x3 এর মান কত?

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x4-x2+1 = 0 হলে x3+1x3=?

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Shohan · Accepted Answer · 2024-12-14T13:31:11+06:00

Shohan

দেওয়া আছে, $x^{2} - 5 x + 1 = 0$

$\Rightarrow x^{2} + 1 = 5 x$

$∴ x + \frac{1}{x} = 5$

এখন, $x^{3} + \frac{1}{x^{3}} = {(x + \frac{1}{x})}^{3} - 3 \times x \times \frac{1}{x} (x + \frac{1}{x})$

$= 5^{3} - (3 \times 5) = 125 - 15 = 110$

9 views Answered 2024-12-14 13:31