If y^3 - x y^2 - 14 x^2 y + 24 x^3 = 0, then which of the following is NOT true for y?
I. y = 2 x
II. y = 3 x
III. y = 4 x
(A) III only
(B) II only
(C) I only
(D) III & II
(E) III & I
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NOT true for y?
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sanju09
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Substitutingsanju09 wrote:If y^3 - x y^2 - 14 x^2 y + 24 x^3 = 0, then which of the following is NOT true for y?
I. y = 2 x
II. y = 3 x
III. y = 4 x
(A) III only
(B) II only
(C) I only
(D) III & II
(E) III & I
I. in the equation => 8x^3 - x*4x^2 - 28*x^3 +24x^3 = 0; I can be true
II. in the equation => 27x^3 - 9x^3 - 42 x^3 + 24 x^3 = 0; II can be true
III in the equation => 64x^3 - 16x^3 - 56x^3 +24x^3 = 16x^3 is zero only when x =0
And when x =0 and y =0 it is all true!
Given the choices I would choose III that is option A
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