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Find the Values of K for Which the Given Quadratic Equation Has Real and Distinct Roots: `Kx^2+6x+1=0` - Mathematics

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प्रश्न

Find the values of k for which the given quadratic equation has real and distinct roots:  

`kx^2+6x+1=0`

उत्तर

The given equation is` kx^2+6x+1=0` 

∴` D=6^2-4xxkxx1=36-4k` 

The given equation has real and distinct roots if D > 0. 

∴` 36-4k>0` 

⇒`4k<36` 

⇒`k<9` 

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

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 10 Quadratic Equations
Exercises 4 | Q 19.1
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