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Some of the root of a quadratic equation is double their product . find k is equation if x^2 - 4K x + K + 3=0 ?
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Some of the root of a quadratic equation is double their product . fin...
Let α and β are the roots of quadratic equation x^2 - 4kx + k + 3 = 0
∴sum of roots = - coefficient of x^2/coefficient of x 
α + β = -(-4k)/1 = 4k 

Product of roots = constant/coefficient of x^2
αβ = (k + 3)/1 = (k + 3) 

A/C to question, 
sum of roots = 2 x product of roots 
(α + β ) = 2αβ
⇒4k = 2(k + 3) 
⇒ 4k = 2k + 6 
⇒ 4k - 2k = 6 
⇒ 2k = 6 
⇒ k = 3 
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Some of the root of a quadratic equation is double their product . fin...
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Some of the root of a quadratic equation is double their product . find k is equation if x^2 - 4K x + K + 3=0 ?
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