Question

9. Find the roots of the quadratic equation x- 1/3x =1/ 6​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x = -1/2  

x = 2/3

Step-by-step explanation:

given, x- 1/3x =1/ 6​

=> 6x² - 2 = x      ( when multiplied by 6x)

=> 6x² - x - 2 = 0

=> 6x² -4x + 3x - 2 = 0

=> 2x(3x - 2) + (3x - 2) = 0

=> (2x+1)(3x - 2) = 0

=> 2x+1 = 0   or  3x-2 = 0

=> 2x = -1    or 3x = 2

=> x = -1/2  or x = 2/3