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Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
10 Jun 2012, 01:13

1

This post received KUDOS

Expert's post

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

x-intercepts of the graph y=(x-p)(x-q) is the values of x for which (x-p)(x-q)=0. So, the x-intercepts are (p, 0) and (q, 0). The question basically asks whether either p or q equals 2.

(1) pq = -8. Not sufficient to say whether p or q equals 2.

(2) -2 – p = q. Not sufficient to say whether p or q equals 2.

(1)+(2) Solving pq=-8 and -2-p=q gives us that either p=-4 and q=2 OR p=2 and q=-4. In ether case one of the unknowns is 2, so y=(x-p)(x-q) intercepts the x-axis at the point (2,0). Sufficient.

Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
10 Jun 2012, 01:15

Bunuel wrote:

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

x-intercepts of the graph y=(x-p)(x-q) is the values of x for which (x-p)(x-q)=0. So, the x-intercepts are (p, 0) and (q, 0). The question basically asks whether either p or q equals 2.

(1) pq = -8. Not sufficient to say whether p or q equals 2.

(2) -2 – p = q. Not sufficient to say whether p or q equals 2.

(1)+(2) Solving pq=-8 and -2-p=q gives us that either p=-4 and q=2 OR p=2 and q=-4. In ether case one of the unknowns is 2, so y=(x-p)(x-q) intercepts the x-axis at the point (2,0). Sufficient.

Answer: C.

Hope it's clear.

Damn, you're good! Was my approach right at all? Sometimes I wish a had an identical twin who could just get a 50 on my Quant section for me while I do the Verbal section, haha.

Does the equation y = (x – p)(x – q) intercept the x-axis at the [#permalink]
13 Jan 2013, 11:30

C.

If y = 0,

this reduces to a quadratic equation. sum of roots = 2, product of roots = -8. Thus the roots are 4 and -2. Line passes through (4,0) and (-2,0) Hence the answer is NO

Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
27 Jan 2014, 17:23

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