1.

If one root of the equation x2 + px+12 = 0 is 4, while the equation x2 + px+ q = 0 has equal roots, the value of q is A. 46/4 B. 4/49 C. 4 D. none of these

Answer»

multiplying first equation and subtracting both the equations we get,

2x2 + 4x +6λ  -2x2 - 3x -5λ  = 0 

x + λ = 0 

x = -λ

Substituting  it in first equation we get,

(-λ)2 +2(-λ) + 3λ = 0

λ2 + λ = 0

λ = -1



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