powerprep question

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powerprep question

by jc114 » Sat May 12, 2007 7:50 am
In the xy plane, at what two points does the graph of y= (x+a)(x+b) intersect the x axis?
(1) a+b=-1
(2) the graph intersects the x=axis at at (0,6)

i chose E but the answer is c

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by f2001290 » Sun May 13, 2007 5:31 am
When a line intersects X axis, y = 0

1. y = x^2 + (a+b)x + ab - not sufficient

2. Substitute (0,6) in the equation, we get the value of ab.

Using both the statements

x^2 - x + 6 = 0

we can get two values of x by solving this equation

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by jc114 » Sun May 13, 2007 2:27 pm
but then if there are 2 answers for x isn't it then E?

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by f2001290 » Mon May 14, 2007 4:42 am
Read the question carefully, it asks for two points.

If x1 nad x2 are the values of x, then (X1,0) and (x2,0) are my points