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Find the Nature of Roots of the Following Quadratic Equations: `5x^2-4x+1=0` - Mathematics

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प्रश्न

Find the nature of roots of the following quadratic equations: 

`5x^2-4x+1=0`

उत्तर

The given equation is `5x^2-4x+1=0` 

This is of the form `ax^2+bx+c=0` where `a=3,b=-2sqrt6 and c=2` 

∴ Discriminant, `D=b^2-4ac=(-2sqrt6)^2-4xx3xx2=24-24=0`

Hence, the given equation has real and equal roots.

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Relationship Between Discriminant and Nature of Roots
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Quadratic Equations - Exercises 4

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 4 | Q 1.3
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