1.

If one root of the equation 2x2 + kx + 4 = 0 is 2, then the other root is A. 6 B. – 6 C. – 1 D. 1

Answer»

In the given equation 2x2 + kx + 4 = 0 

Let α and β be the two roots 

α = 2 (given) 

here a = 2, b = k and c = 4 

sum of the roots

⇒ α + β = \(-b/a\)

⇒ 2 + β = \(-k/2\)

β = – k 

α β = 2 

β = 2/2 = 1(putting value of α = 2)



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