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Question
Find the nature of roots of the following quadratic equations:
`2x^2-8x+5=0`
Solution
The given equation is `2x^2-8x+5=0`
This is of the form `ax^2+bx+c=0` where `a=2,b=-8` and `c=5`
∴ Discriminant, `D=b^2-4ac=(-8)^2-4xx2xx5=64-40>0`
Hence, the given equation has real and unequal roots.
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