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 Problem: Discriminant and Nature of Roots x^2-5x+3=0 [ Calculator, Method and examples ]Solution:Your problem -> Discriminant and Nature of Roots x^2-5x+3=0x^2-5x+3=0=>x^2-5x+3 = 0Comparing the given equation with the standard quadratic equation ax^2+bx+c=0,we get, a=1, b=-5, c=3.:. Delta=b^2-4ac=(-5)^2-4 (1) (3)=25-12=13Here, Delta > 0 but not a perfect square.Hence, the roots of the equation are distinct and irrational.

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