Question
Download Solution PDFx 2 - 7x + 1 = 0, மற்றும் 0 2 -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFபயன்படுத்திய சூத்திரம்:
x + (1/x) = a
எனில் x - (1/x) = √(a 2 - 4)
கணக்கீடு :
⇒ x 2 - 7x + 1 = 0
x ஆல் வகுத்தால் நமக்குக் கிடைப்பது:
⇒ x - 7 + (1/x) = 0
⇒ x + (1/x) = 7
இப்போது, (x - 1/x) = -√(49 - 4) = - √45 = - 3√5
[இங்கே 0
⇒ x 2 - (1/x 2 ) = [x - (1/x)] [x + (1/x)]
⇒ 7 x (-3√5)
⇒ -21√5
∴ சரியான பதில் - 21√5.
Mistake Points
இங்கே 0
⇒ 1/x > 1
⇒ x - 1/x
எனவே, x 2 - (1/x 2 ) = [x - (1/x)] [x + (1/x)]
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