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0 votes
2.0k views
in Quadratic Equations by (31.2k points)
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If the sum of the roots of the equation x2 – x = λ (2x – 1) is zero, then λ =

A. – 2

B. 2

C. \(-\frac{1}{2}\)

D. \(\frac{1}{2}\)

1 Answer

+1 vote
by (30.8k points)
selected by
 
Best answer

equation is x2 – x = λ (2x – 1) 

x2 – x – λ (2x – 1) = 0 

x2 – (2λ + 1)x + λ = 0 

Here a = 1, b = – (2λ + 1), c = λ 

Sum of the roots = – b/a 

⇒ –(– (2λ + 1)) = 0 

⇒ λ = – 1/2

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