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The answer is 1/5 or -1/2
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Answer :
x = 1/2 or x = -1/5
Explanation:
Given 10x -1/x = 3
=> (10x²-1)/x = 3
=> 10x² - 1 = 3x
=> 10x² -3x - 1 = 0
Splitting the middle term, we
get
=> 10x² -5x + 2x -1 = 0
=> 5x(2x-1) + 1(2x-1) = 0
=> (2x-1)(5x+1)=0
=> 2x-1 = 0 or 5x+1 = 0
=> x = 1/2 or x = -1/5
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