Find the roots of the following quadratic equation by factorisation: x - 3/x = 2
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Answer:
x = 3 or x = -1
Step-by-step explanation:
Given Quadratic equation ,
x - 3/x = 2
=> ( x² - 3 )/x = 2
=> x² - 3 = 2x
=> x² - 2x - 3 = 0
Splitting the middle term , we get
=> x² -3x + 1x - 3 = 0
=> x( x - 3 ) + 1( x - 3 ) = 0
=> ( x - 3 )( x + 1 ) = 0
Therefore ,
x - 3 = 0 or x + 1 = 0
x = 3 or x = -1
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