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If the sum of the roots of the equation kx^2 + 2x +3x = 0 is equal to their product then the value of k

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If the sum of the roots of the equation kx2 + 2x +3x = 0 is equal to their product then the value of k

(a) 1 3 

(b) -1/3 

(c) 2/3 

(d) -2/3

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1 Answer

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Correct answer is (d) -2/3

Given:

kx2 + 2x + 3k = 0

Sum of the roots = Product of the roots

⇒ -2/k = 3k/k

⇒ 3k = -2

⇒ k = -2/3

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