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Re: Quadratic DS

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Mountain14 wrote:
Bunuel wrote:
rxs0005 wrote:
is x^2-8x+15 = 0

1 x not equal to 3

2 x-5 not equal to 0


Solve x^2-8x+15=0 for x --> x=3 or x=5 --> so x^2-8x+15=0 is true if x=3 or x=5. Basically the question asks: is x=3 or x=5?

(1) x\neq{3}. x can still be 5. Not sufficient.

(2) x-5\neq{0} --> x\neq{5}. x can still be 3. Not sufficient.

(1)+(2) x\neq{3} and x\neq{5}, so the answer to the question is NO. Sufficient.

Answer: C.


Bunuel,

I did not understand the logic.

Stm1 - X can be 5, so x^2-8x+15 = 0 , Sufficient

Stm 2- X can be 3, So x^2-8x+15 = 0 , Sufficient..

Ans- D

Whats wrong in this.


QUESTION IS whether x^2-8x+15 = 0
statement 1:==> x\neq{3}.===>means x can be 4,5,6,7...anthing except 3
when x=5..the given equation equals to zero but with other numbers let say 4...16-32+15=-1
so insufficient.

statement 2:similarly herex cant be 5.....but at x=3==>equation equals to 0 BUT AT other numbers it is not equal to zero..
hence insufficient.

combining both you are neglecting both the roots of X hence that equation will never be zero .
hence sufficient C

HOPE IT HELPS

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