someone please factories it
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Qᴜᴇsᴛɪᴏɴ :-
- Factorize :- (x + 1/x) = 2(1/20)
Sᴏʟᴜᴛɪᴏɴ :-
→ (x + 1/x) = 2(1/20)
→ (x + 1/x) = (41/20)
→ x + 1/x - 41/20 = 0
Taking LCM of LHS ,
→ (20x² + 20 - 41x) / (20x) = 0
Cross - Multiply,
→ 20x² - 41x + 20 = 0
Splitting The Middle Term now,
→ 20x² - 25x - 16x + 20 = 0
→ 5x(4x - 5) -4(4x - 5) = 0
→ (4x - 5)(5x - 4) = 0 (Ans.)
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Note :- Your Solution is Also right. in Last line Take LCM as 20 once again and than you will get Same Quadratic Equation .
→ x² - (41/20)x + 1 = 0
Taking LCM as 20 in denominator now,
→ (20x² - 41x + 20)/20 = 0
→ 20x² - 41x + 20 = 0
Now Do same .....
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