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For What Values of K, the Roots of the Equation X2 + 4x +K = 0 Are Real? - Mathematics

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प्रश्न

For what values of k, the roots of the equation x2 + 4x +k = 0 are real? 

योग

उत्तर

x2 +4x +k=0 

∴ Roots of given equation are real,

D≥0

implies that 

(4)2 - 4 ×k ≥ 0

implies that 

-4k ≥ -16

implies that 

k ≤ 4

∴ k has all real values k ≤ 4.

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2018-2019 (March) 30/1/1
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