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Find the Nature of Roots of the Following Quadratic Equations: `X^2-x+2=0` - Mathematics

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प्रश्न

Find the nature of roots of the following quadratic equations: 

`x^2-x+2=0`

उत्तर

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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Relationship Between Discriminant and Nature of Roots
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पाठ 10: Quadratic Equations - Exercises 4

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 4 | Q 1.6
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