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Question
Find the nature of roots of the following quadratic equations:
`x^2-x+2=0`
Solution
The given equation is `x^2-x+2=0`
This is of the form `ax^2+bx+c=0` where `a=1,b=-1 and c=2`
∴ Discriminant, `D=b^2-4ac=(-1)^2-4xx1xx2=1-8=-7=0`
Hence, the given equation has no real roots.
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