Answer :



taking LCM



x2 + x = x + 16 cross multiplying


x2 - 16 = 0


x2 - (4)2 = 0 using a2 - b2 = (a + b)(a - b)


(x + 4) (x - 4) = 0


(x + 4) = 0 or (x - 4) = 0


x = 4 or x = - 4


Hence the roots of equation are 4, - 4.


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