Answer :

For roots to be real and distinct D should be greater than 0


Discriminant (D) = b2 – 4ac


In the discriminant b2 is a positive number since square cannot be negative given a > 0 which means a is also positive


Now consider the product – 4 × c


As c < 0 c is negative


We are multiplying two negative numbers which would result in a positive number which means – 4 × c is also positive


So, we can conclude that b2 – 4ac is positive


Hence D > 0


Hence roots are real and distinct


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