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Find the Nature of Roots of the Following Quadratic Equations: `2x^2-8x+5=0` - Mathematics

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प्रश्न

Find the nature of roots of the following quadratic equations: 

`2x^2-8x+5=0` 

 

उत्तर

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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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 1.1
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