discuss nature of root 2x^2-5x+1=0
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real and virtual
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Theory behind the question:
To the nature of roots we use the concept called the Concept of Discriminant.
Discriminant (D)= √(b^2 -4ac)
When D>0, then roots are Real and Unequal.
When D = 0, then roots are Real and Equal.
When D<0, then the roots are Imaginary.
Solution to your question:
So, in your question:
D = √{(-5)^2 - 4(2)(1)}
= √(25 - 8)
= √17
=> D>0
Therefore, the roots of the equation are Real and Unequal.
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