x2 - 3x + 1 = 0 হলে, x3 + 1x3 এর মান কত?

Question

Shohan

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2025-01-04 04:42

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2x-2x=3 হলে দেখাও যে 8x3-1x3=63.

1 Answers 11 Views

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x+1x=2 হলে x3+1x3=?

1 Answers 6 Views

x - 1x = 3 হলে x3 - 1x3 এর মান কত?

1 Answers 5 Views

x4-x2+1 = 0 হলে x3+1x3=?

1 Answers 7 Views

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

Shohan

দেওয়া আছে, $x^{2} - \sqrt{3} x + 1 = 0$

বা, $x^{2} + 1 = \sqrt{3} x$

বা, $\frac{x^{2}}{x} + \frac{1}{x} = \sqrt{3}$

$∴ x + \frac{1}{x} = \sqrt{3}$

প্রদত্ত রাশি: $x^{3} + \frac{1}{x^{3}} = {(x + \frac{1}{x})}^{3} - 3 . x . \frac{1}{x} (x + \frac{1}{x})$

$= {(\sqrt{3})}^{3} - 3 \sqrt{3}$

$= 3 \sqrt{3} - 3 \sqrt{3}$

= 0 (Answer)

6 views Answered 2024-12-14 13:31