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0 votes
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in Quadratic Equations by (31.2k points)
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If the sum of the roots of the equation x2 – (k + 6)x + 2 (2k – 1) = 0 is equal to half of their product, then k =

A.

B.

C.

D. 5

1 Answer

+1 vote
by (30.8k points)
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Best answer

In the given equation x2 – (k + 6)x + 2 (2k – 1) = 0 

a = 1, b = – (k + 6), c = 2 (2k – 1) 

Sum of the roots = 1/2 (product of roots) (given) 

K + 6 = 2k – 1 

K = 7

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