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Data Sufficiency (DS) | Re: Does the equation y = (x – p)(x – q) intercept the x-axis at

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alchemist009 wrote:

Does the equation y = (x – p)(x – q) intercept the x-axis at the point (2,0)?

(1) pq = -8

(2) -2 – p = q


Equation y = x^2 - (p+q)x + pq intercept the x-axis at the point (2,0) if
0 = 4 - 2(p+q) + pq
=> 2(p+q) = pq +4
We need to prove 2(p+q) = pq+4

Statement 1 provides pq = -8
2(p+q) = -8+4
(p+q) = -2
p & q can take multiple values. INSUFFICIENT.

Statement 2 provides -2 -p = q
p+q = -2
-2*2 = pq +4
pq = -8
p & q can take multiple values. INSUFFICIENT.

Statement 1 &
...

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