x² - ✓(5)x + 1 = 0 হলে x2+1/x2 এর মান কত?
Solution
Correct Answer: Option C
দেওয়া আছে,
x² - ✓(5)x + 1 = 0
x² + 1 = ✓(5)x
x(x+ 1/x) = ✓(5)x
(x+ 1/x) = ✓5
(x+ 1/x)2 = (✓5)2 [বর্গ করে]
x2 + 2x.1/x + 1/x2 = 5
x2 + 2 + 1/x2 = 5
x2 + 1/x2 = 5 -2
x2 + 1/x2 = 3
x² - ✓(5)x + 1 = 0
x² + 1 = ✓(5)x
x(x+ 1/x) = ✓(5)x
(x+ 1/x) = ✓5
(x+ 1/x)2 = (✓5)2 [বর্গ করে]
x2 + 2x.1/x + 1/x2 = 5
x2 + 2 + 1/x2 = 5
x2 + 1/x2 = 5 -2
x2 + 1/x2 = 3
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